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Finding the Fourth Proportional to 11,425.92, 17,140.80 and 3,637.12

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Solution

The fourth proportional to 11,425.92, 17,140.80 and 3,637.12 is: 5,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.92 : 17,140.80 = 3,637.12 : x
  2. Step 2: Convert to fraction form
    11,425.92/17,140.80 = 3,637.12/x
  3. Step 3: Cross multiply
    11,425.92x = 17,140.80 × 3,637.12
  4. Step 4: Simplify right side
    11,425.92x = 62,343,146.50
  5. Step 5: Solve for x
    x = 62,343,146.50/11,425.92
  6. Step 6: Final answer
    x = 5,456.29

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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.