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Finding the Fourth Proportional to 8,516.28, 11,753.86 and 4,978.80

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Solution

The fourth proportional to 8,516.28, 11,753.86 and 4,978.80 is: 6,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.28 : 11,753.86 = 4,978.80 : x
  2. Step 2: Convert to fraction form
    8,516.28/11,753.86 = 4,978.80/x
  3. Step 3: Cross multiply
    8,516.28x = 11,753.86 × 4,978.80
  4. Step 4: Simplify right side
    8,516.28x = 58,520,118.17
  5. Step 5: Solve for x
    x = 58,520,118.17/8,516.28
  6. Step 6: Final answer
    x = 6,871.56

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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.