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Finding the Fourth Proportional to 8,117.10, 12,177.17 and 2,568.95

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Solution

The fourth proportional to 8,117.10, 12,177.17 and 2,568.95 is: 3,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.10 : 12,177.17 = 2,568.95 : x
  2. Step 2: Convert to fraction form
    8,117.10/12,177.17 = 2,568.95/x
  3. Step 3: Cross multiply
    8,117.10x = 12,177.17 × 2,568.95
  4. Step 4: Simplify right side
    8,117.10x = 31,282,467.14
  5. Step 5: Solve for x
    x = 31,282,467.14/8,117.10
  6. Step 6: Final answer
    x = 3,853.90

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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.