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Finding the Fourth Proportional to 8,116.90, 12,176.54 and 2,568.98

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Solution

The fourth proportional to 8,116.90, 12,176.54 and 2,568.98 is: 3,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.90 : 12,176.54 = 2,568.98 : x
  2. Step 2: Convert to fraction form
    8,116.90/12,176.54 = 2,568.98/x
  3. Step 3: Cross multiply
    8,116.90x = 12,176.54 × 2,568.98
  4. Step 4: Simplify right side
    8,116.90x = 31,281,287.73
  5. Step 5: Solve for x
    x = 31,281,287.73/8,116.90
  6. Step 6: Final answer
    x = 3,853.85

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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.