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Finding the Fourth Proportional to 7,885.46, 10,882.70 and 5,892.55

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Solution

The fourth proportional to 7,885.46, 10,882.70 and 5,892.55 is: 8,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.46 : 10,882.70 = 5,892.55 : x
  2. Step 2: Convert to fraction form
    7,885.46/10,882.70 = 5,892.55/x
  3. Step 3: Cross multiply
    7,885.46x = 10,882.70 × 5,892.55
  4. Step 4: Simplify right side
    7,885.46x = 64,126,824.42
  5. Step 5: Solve for x
    x = 64,126,824.42/7,885.46
  6. Step 6: Final answer
    x = 8,132.29

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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.