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Finding the Fourth Proportional to 10,882.63, 15,016.89 and 6,406.11

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Solution

The fourth proportional to 10,882.63, 15,016.89 and 6,406.11 is: 8,839.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.63 : 15,016.89 = 6,406.11 : x
  2. Step 2: Convert to fraction form
    10,882.63/15,016.89 = 6,406.11/x
  3. Step 3: Cross multiply
    10,882.63x = 15,016.89 × 6,406.11
  4. Step 4: Simplify right side
    10,882.63x = 96,199,849.20
  5. Step 5: Solve for x
    x = 96,199,849.20/10,882.63
  6. Step 6: Final answer
    x = 8,839.76

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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.