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Finding the Fourth Proportional to 10,935.77, 15,092.06 and 6,458.31

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Solution

The fourth proportional to 10,935.77, 15,092.06 and 6,458.31 is: 8,912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.77 : 15,092.06 = 6,458.31 : x
  2. Step 2: Convert to fraction form
    10,935.77/15,092.06 = 6,458.31/x
  3. Step 3: Cross multiply
    10,935.77x = 15,092.06 × 6,458.31
  4. Step 4: Simplify right side
    10,935.77x = 97,469,169.73
  5. Step 5: Solve for x
    x = 97,469,169.73/10,935.77
  6. Step 6: Final answer
    x = 8,912.88

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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.