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Finding the Fourth Proportional to 8,202.72, 12,304.40 and 2,046.88

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Solution

The fourth proportional to 8,202.72, 12,304.40 and 2,046.88 is: 3,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.72 : 12,304.40 = 2,046.88 : x
  2. Step 2: Convert to fraction form
    8,202.72/12,304.40 = 2,046.88/x
  3. Step 3: Cross multiply
    8,202.72x = 12,304.40 × 2,046.88
  4. Step 4: Simplify right side
    8,202.72x = 25,185,630.27
  5. Step 5: Solve for x
    x = 25,185,630.27/8,202.72
  6. Step 6: Final answer
    x = 3,070.40

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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.