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Finding the Fourth Proportional to 11,387.20, 17,064.80 and 9,051.20

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Solution

The fourth proportional to 11,387.20, 17,064.80 and 9,051.20 is: 13,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.20 : 17,064.80 = 9,051.20 : x
  2. Step 2: Convert to fraction form
    11,387.20/17,064.80 = 9,051.20/x
  3. Step 3: Cross multiply
    11,387.20x = 17,064.80 × 9,051.20
  4. Step 4: Simplify right side
    11,387.20x = 154,456,917.76
  5. Step 5: Solve for x
    x = 154,456,917.76/11,387.20
  6. Step 6: Final answer
    x = 13,564.08

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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.