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Finding the Fourth Proportional to 11,398.47, 15,730.16 and 7,149.71

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Solution

The fourth proportional to 11,398.47, 15,730.16 and 7,149.71 is: 9,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.47 : 15,730.16 = 7,149.71 : x
  2. Step 2: Convert to fraction form
    11,398.47/15,730.16 = 7,149.71/x
  3. Step 3: Cross multiply
    11,398.47x = 15,730.16 × 7,149.71
  4. Step 4: Simplify right side
    11,398.47x = 112,466,143.14
  5. Step 5: Solve for x
    x = 112,466,143.14/11,398.47
  6. Step 6: Final answer
    x = 9,866.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.