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Finding the Fourth Proportional to 8,666.46, 11,951.55 and 5,684.85

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Solution

The fourth proportional to 8,666.46, 11,951.55 and 5,684.85 is: 7,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.46 : 11,951.55 = 5,684.85 : x
  2. Step 2: Convert to fraction form
    8,666.46/11,951.55 = 5,684.85/x
  3. Step 3: Cross multiply
    8,666.46x = 11,951.55 × 5,684.85
  4. Step 4: Simplify right side
    8,666.46x = 67,942,769.02
  5. Step 5: Solve for x
    x = 67,942,769.02/8,666.46
  6. Step 6: Final answer
    x = 7,839.74

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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.