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Finding the Fourth Proportional to 8,410.14, 12,617.18 and 2,566.74

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Solution

The fourth proportional to 8,410.14, 12,617.18 and 2,566.74 is: 3,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.14 : 12,617.18 = 2,566.74 : x
  2. Step 2: Convert to fraction form
    8,410.14/12,617.18 = 2,566.74/x
  3. Step 3: Cross multiply
    8,410.14x = 12,617.18 × 2,566.74
  4. Step 4: Simplify right side
    8,410.14x = 32,385,007.76
  5. Step 5: Solve for x
    x = 32,385,007.76/8,410.14
  6. Step 6: Final answer
    x = 3,850.71

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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.