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Finding the Fourth Proportional to 11,508.78, 15,880.96 and 6,472.20

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Solution

The fourth proportional to 11,508.78, 15,880.96 and 6,472.20 is: 8,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.78 : 15,880.96 = 6,472.20 : x
  2. Step 2: Convert to fraction form
    11,508.78/15,880.96 = 6,472.20/x
  3. Step 3: Cross multiply
    11,508.78x = 15,880.96 × 6,472.20
  4. Step 4: Simplify right side
    11,508.78x = 102,784,749.31
  5. Step 5: Solve for x
    x = 102,784,749.31/11,508.78
  6. Step 6: Final answer
    x = 8,930.99

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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.