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Finding the Fourth Proportional to 8,297.48, 12,446.31 and 2,454.20

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Solution

The fourth proportional to 8,297.48, 12,446.31 and 2,454.20 is: 3,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.48 : 12,446.31 = 2,454.20 : x
  2. Step 2: Convert to fraction form
    8,297.48/12,446.31 = 2,454.20/x
  3. Step 3: Cross multiply
    8,297.48x = 12,446.31 × 2,454.20
  4. Step 4: Simplify right side
    8,297.48x = 30,545,734.00
  5. Step 5: Solve for x
    x = 30,545,734.00/8,297.48
  6. Step 6: Final answer
    x = 3,681.33

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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.