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Finding the Fourth Proportional to 10,288.67, 15,432.99 and 2,497.47

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Solution

The fourth proportional to 10,288.67, 15,432.99 and 2,497.47 is: 3,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.67 : 15,432.99 = 2,497.47 : x
  2. Step 2: Convert to fraction form
    10,288.67/15,432.99 = 2,497.47/x
  3. Step 3: Cross multiply
    10,288.67x = 15,432.99 × 2,497.47
  4. Step 4: Simplify right side
    10,288.67x = 38,543,429.54
  5. Step 5: Solve for x
    x = 38,543,429.54/10,288.67
  6. Step 6: Final answer
    x = 3,746.20

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