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Finding the Fourth Proportional to 8,115.45, 12,174.03 and 2,569.56

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Solution

The fourth proportional to 8,115.45, 12,174.03 and 2,569.56 is: 3,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.45 : 12,174.03 = 2,569.56 : x
  2. Step 2: Convert to fraction form
    8,115.45/12,174.03 = 2,569.56/x
  3. Step 3: Cross multiply
    8,115.45x = 12,174.03 × 2,569.56
  4. Step 4: Simplify right side
    8,115.45x = 31,281,900.53
  5. Step 5: Solve for x
    x = 31,281,900.53/8,115.45
  6. Step 6: Final answer
    x = 3,854.61

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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.