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Finding the Fourth Proportional to 6,311.28, 8,708.44 and 4,428.64

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Solution

The fourth proportional to 6,311.28, 8,708.44 and 4,428.64 is: 6,110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.28 : 8,708.44 = 4,428.64 : x
  2. Step 2: Convert to fraction form
    6,311.28/8,708.44 = 4,428.64/x
  3. Step 3: Cross multiply
    6,311.28x = 8,708.44 × 4,428.64
  4. Step 4: Simplify right side
    6,311.28x = 38,566,545.72
  5. Step 5: Solve for x
    x = 38,566,545.72/6,311.28
  6. Step 6: Final answer
    x = 6,110.73

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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.