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Finding the Fourth Proportional to 7,885.20, 10,882.35 and 5,892.30

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Solution

The fourth proportional to 7,885.20, 10,882.35 and 5,892.30 is: 8,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.20 : 10,882.35 = 5,892.30 : x
  2. Step 2: Convert to fraction form
    7,885.20/10,882.35 = 5,892.30/x
  3. Step 3: Cross multiply
    7,885.20x = 10,882.35 × 5,892.30
  4. Step 4: Simplify right side
    7,885.20x = 64,122,070.91
  5. Step 5: Solve for x
    x = 64,122,070.91/7,885.20
  6. Step 6: Final answer
    x = 8,131.95

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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.