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Finding the Fourth Proportional to 8,375.82, 12,565.68 and 3,697.17

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Solution

The fourth proportional to 8,375.82, 12,565.68 and 3,697.17 is: 5,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.82 : 12,565.68 = 3,697.17 : x
  2. Step 2: Convert to fraction form
    8,375.82/12,565.68 = 3,697.17/x
  3. Step 3: Cross multiply
    8,375.82x = 12,565.68 × 3,697.17
  4. Step 4: Simplify right side
    8,375.82x = 46,457,455.13
  5. Step 5: Solve for x
    x = 46,457,455.13/8,375.82
  6. Step 6: Final answer
    x = 5,546.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.