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Finding the Fourth Proportional to 8,706.28, 13,034.58 and 5,778.76

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Solution

The fourth proportional to 8,706.28, 13,034.58 and 5,778.76 is: 8,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.28 : 13,034.58 = 5,778.76 : x
  2. Step 2: Convert to fraction form
    8,706.28/13,034.58 = 5,778.76/x
  3. Step 3: Cross multiply
    8,706.28x = 13,034.58 × 5,778.76
  4. Step 4: Simplify right side
    8,706.28x = 75,323,709.52
  5. Step 5: Solve for x
    x = 75,323,709.52/8,706.28
  6. Step 6: Final answer
    x = 8,651.65

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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.