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Finding the Fourth Proportional to 10,531.68, 15,797.48 and 10,006.12

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Solution

The fourth proportional to 10,531.68, 15,797.48 and 10,006.12 is: 15,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.68 : 15,797.48 = 10,006.12 : x
  2. Step 2: Convert to fraction form
    10,531.68/15,797.48 = 10,006.12/x
  3. Step 3: Cross multiply
    10,531.68x = 15,797.48 × 10,006.12
  4. Step 4: Simplify right side
    10,531.68x = 158,071,480.58
  5. Step 5: Solve for x
    x = 158,071,480.58/10,531.68
  6. Step 6: Final answer
    x = 15,009.14

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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.