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Finding the Fourth Proportional to 8,566.65, 12,849.86 and 2,327.27

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Solution

The fourth proportional to 8,566.65, 12,849.86 and 2,327.27 is: 3,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.65 : 12,849.86 = 2,327.27 : x
  2. Step 2: Convert to fraction form
    8,566.65/12,849.86 = 2,327.27/x
  3. Step 3: Cross multiply
    8,566.65x = 12,849.86 × 2,327.27
  4. Step 4: Simplify right side
    8,566.65x = 29,905,035.25
  5. Step 5: Solve for x
    x = 29,905,035.25/8,566.65
  6. Step 6: Final answer
    x = 3,490.87

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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.