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Finding the Fourth Proportional to 10,880.71, 15,023.85 and 8,358.82

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Solution

The fourth proportional to 10,880.71, 15,023.85 and 8,358.82 is: 11,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.71 : 15,023.85 = 8,358.82 : x
  2. Step 2: Convert to fraction form
    10,880.71/15,023.85 = 8,358.82/x
  3. Step 3: Cross multiply
    10,880.71x = 15,023.85 × 8,358.82
  4. Step 4: Simplify right side
    10,880.71x = 125,581,620.30
  5. Step 5: Solve for x
    x = 125,581,620.30/10,880.71
  6. Step 6: Final answer
    x = 11,541.68

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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.