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Finding the Fourth Proportional to 7,439.31, 10,233.81 and 6,538.86

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Solution

The fourth proportional to 7,439.31, 10,233.81 and 6,538.86 is: 8,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.31 : 10,233.81 = 6,538.86 : x
  2. Step 2: Convert to fraction form
    7,439.31/10,233.81 = 6,538.86/x
  3. Step 3: Cross multiply
    7,439.31x = 10,233.81 × 6,538.86
  4. Step 4: Simplify right side
    7,439.31x = 66,917,450.86
  5. Step 5: Solve for x
    x = 66,917,450.86/7,439.31
  6. Step 6: Final answer
    x = 8,995.12

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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.