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Finding the Fourth Proportional to 10,344.32, 15,490.56 and 8,164.88

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Solution

The fourth proportional to 10,344.32, 15,490.56 and 8,164.88 is: 12,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.32 : 15,490.56 = 8,164.88 : x
  2. Step 2: Convert to fraction form
    10,344.32/15,490.56 = 8,164.88/x
  3. Step 3: Cross multiply
    10,344.32x = 15,490.56 × 8,164.88
  4. Step 4: Simplify right side
    10,344.32x = 126,478,563.53
  5. Step 5: Solve for x
    x = 126,478,563.53/10,344.32
  6. Step 6: Final answer
    x = 12,226.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.