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Finding the Fourth Proportional to 10,882.47, 15,017.09 and 6,407.09

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Solution

The fourth proportional to 10,882.47, 15,017.09 and 6,407.09 is: 8,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.47 : 15,017.09 = 6,407.09 : x
  2. Step 2: Convert to fraction form
    10,882.47/15,017.09 = 6,407.09/x
  3. Step 3: Cross multiply
    10,882.47x = 15,017.09 × 6,407.09
  4. Step 4: Simplify right side
    10,882.47x = 96,215,740.05
  5. Step 5: Solve for x
    x = 96,215,740.05/10,882.47
  6. Step 6: Final answer
    x = 8,841.35

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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.