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Finding the Fourth Proportional to 8,446.88, 11,660.15 and 5,766.95

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Solution

The fourth proportional to 8,446.88, 11,660.15 and 5,766.95 is: 7,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.88 : 11,660.15 = 5,766.95 : x
  2. Step 2: Convert to fraction form
    8,446.88/11,660.15 = 5,766.95/x
  3. Step 3: Cross multiply
    8,446.88x = 11,660.15 × 5,766.95
  4. Step 4: Simplify right side
    8,446.88x = 67,243,480.02
  5. Step 5: Solve for x
    x = 67,243,480.02/8,446.88
  6. Step 6: Final answer
    x = 7,960.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.