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Finding the Fourth Proportional to 8,238.13, 11,364.98 and 6,474.86

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Solution

The fourth proportional to 8,238.13, 11,364.98 and 6,474.86 is: 8,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.13 : 11,364.98 = 6,474.86 : x
  2. Step 2: Convert to fraction form
    8,238.13/11,364.98 = 6,474.86/x
  3. Step 3: Cross multiply
    8,238.13x = 11,364.98 × 6,474.86
  4. Step 4: Simplify right side
    8,238.13x = 73,586,654.40
  5. Step 5: Solve for x
    x = 73,586,654.40/8,238.13
  6. Step 6: Final answer
    x = 8,932.45

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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.