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Finding the Fourth Proportional to 10,519.29, 15,851.34 and 8,711.10

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Solution

The fourth proportional to 10,519.29, 15,851.34 and 8,711.10 is: 13,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.29 : 15,851.34 = 8,711.10 : x
  2. Step 2: Convert to fraction form
    10,519.29/15,851.34 = 8,711.10/x
  3. Step 3: Cross multiply
    10,519.29x = 15,851.34 × 8,711.10
  4. Step 4: Simplify right side
    10,519.29x = 138,082,607.87
  5. Step 5: Solve for x
    x = 138,082,607.87/10,519.29
  6. Step 6: Final answer
    x = 13,126.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.