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Finding the Fourth Proportional to 8,249.32, 11,385.30 and 6,494.14

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Solution

The fourth proportional to 8,249.32, 11,385.30 and 6,494.14 is: 8,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.32 : 11,385.30 = 6,494.14 : x
  2. Step 2: Convert to fraction form
    8,249.32/11,385.30 = 6,494.14/x
  3. Step 3: Cross multiply
    8,249.32x = 11,385.30 × 6,494.14
  4. Step 4: Simplify right side
    8,249.32x = 73,937,732.14
  5. Step 5: Solve for x
    x = 73,937,732.14/8,249.32
  6. Step 6: Final answer
    x = 8,962.89

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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.