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Finding the Fourth Proportional to 8,304.48, 12,455.76 and 2,148.96

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Solution

The fourth proportional to 8,304.48, 12,455.76 and 2,148.96 is: 3,223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.48 : 12,455.76 = 2,148.96 : x
  2. Step 2: Convert to fraction form
    8,304.48/12,455.76 = 2,148.96/x
  3. Step 3: Cross multiply
    8,304.48x = 12,455.76 × 2,148.96
  4. Step 4: Simplify right side
    8,304.48x = 26,766,930.01
  5. Step 5: Solve for x
    x = 26,766,930.01/8,304.48
  6. Step 6: Final answer
    x = 3,223.19

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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.