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Finding the Fourth Proportional to 10,892.96, 15,031.68 and 6,176.96

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Solution

The fourth proportional to 10,892.96, 15,031.68 and 6,176.96 is: 8,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.96 : 15,031.68 = 6,176.96 : x
  2. Step 2: Convert to fraction form
    10,892.96/15,031.68 = 6,176.96/x
  3. Step 3: Cross multiply
    10,892.96x = 15,031.68 × 6,176.96
  4. Step 4: Simplify right side
    10,892.96x = 92,850,086.09
  5. Step 5: Solve for x
    x = 92,850,086.09/10,892.96
  6. Step 6: Final answer
    x = 8,523.86

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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.