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Finding the Fourth Proportional to 8,473.28, 12,712.96 and 5,148.31

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Solution

The fourth proportional to 8,473.28, 12,712.96 and 5,148.31 is: 7,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.28 : 12,712.96 = 5,148.31 : x
  2. Step 2: Convert to fraction form
    8,473.28/12,712.96 = 5,148.31/x
  3. Step 3: Cross multiply
    8,473.28x = 12,712.96 × 5,148.31
  4. Step 4: Simplify right side
    8,473.28x = 65,450,259.10
  5. Step 5: Solve for x
    x = 65,450,259.10/8,473.28
  6. Step 6: Final answer
    x = 7,724.31

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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.