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Finding the Fourth Proportional to 11,584,471.60, 17,385,001.80 and 4,857,713.20

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Solution

The fourth proportional to 11,584,471.60, 17,385,001.80 and 4,857,713.20 is: 7,290,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584,471.60 : 17,385,001.80 = 4,857,713.20 : x
  2. Step 2: Convert to fraction form
    11,584,471.60/17,385,001.80 = 4,857,713.20/x
  3. Step 3: Cross multiply
    11,584,471.60x = 17,385,001.80 × 4,857,713.20
  4. Step 4: Simplify right side
    11,584,471.60x = 84,451,352,725,883.77
  5. Step 5: Solve for x
    x = 84,451,352,725,883.77/11,584,471.60
  6. Step 6: Final answer
    x = 7,290,047.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.