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Finding the Fourth Proportional to 11,807.60, 17,713.31 and 3,488.45

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Solution

The fourth proportional to 11,807.60, 17,713.31 and 3,488.45 is: 5,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.60 : 17,713.31 = 3,488.45 : x
  2. Step 2: Convert to fraction form
    11,807.60/17,713.31 = 3,488.45/x
  3. Step 3: Cross multiply
    11,807.60x = 17,713.31 × 3,488.45
  4. Step 4: Simplify right side
    11,807.60x = 61,791,890.26
  5. Step 5: Solve for x
    x = 61,791,890.26/11,807.60
  6. Step 6: Final answer
    x = 5,233.23

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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.