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Finding the Fourth Proportional to 8,202.40, 12,304.56 and 3,007.12

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Solution

The fourth proportional to 8,202.40, 12,304.56 and 3,007.12 is: 4,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.40 : 12,304.56 = 3,007.12 : x
  2. Step 2: Convert to fraction form
    8,202.40/12,304.56 = 3,007.12/x
  3. Step 3: Cross multiply
    8,202.40x = 12,304.56 × 3,007.12
  4. Step 4: Simplify right side
    8,202.40x = 37,001,288.47
  5. Step 5: Solve for x
    x = 37,001,288.47/8,202.40
  6. Step 6: Final answer
    x = 4,511.03

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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.