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Finding the Fourth Proportional to 11,475.20, 15,838.88 and 6,760.96

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Solution

The fourth proportional to 11,475.20, 15,838.88 and 6,760.96 is: 9,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.20 : 15,838.88 = 6,760.96 : x
  2. Step 2: Convert to fraction form
    11,475.20/15,838.88 = 6,760.96/x
  3. Step 3: Cross multiply
    11,475.20x = 15,838.88 × 6,760.96
  4. Step 4: Simplify right side
    11,475.20x = 107,086,034.12
  5. Step 5: Solve for x
    x = 107,086,034.12/11,475.20
  6. Step 6: Final answer
    x = 9,331.95

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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.