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Finding the Fourth Proportional to 10,327.28, 15,466.28 and 5,640.28

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Solution

The fourth proportional to 10,327.28, 15,466.28 and 5,640.28 is: 8,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.28 : 15,466.28 = 5,640.28 : x
  2. Step 2: Convert to fraction form
    10,327.28/15,466.28 = 5,640.28/x
  3. Step 3: Cross multiply
    10,327.28x = 15,466.28 × 5,640.28
  4. Step 4: Simplify right side
    10,327.28x = 87,234,125.19
  5. Step 5: Solve for x
    x = 87,234,125.19/10,327.28
  6. Step 6: Final answer
    x = 8,446.96

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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.