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Finding the Fourth Proportional to 8,160.24, 12,243.60 and 7,233.60

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Solution

The fourth proportional to 8,160.24, 12,243.60 and 7,233.60 is: 10,853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.24 : 12,243.60 = 7,233.60 : x
  2. Step 2: Convert to fraction form
    8,160.24/12,243.60 = 7,233.60/x
  3. Step 3: Cross multiply
    8,160.24x = 12,243.60 × 7,233.60
  4. Step 4: Simplify right side
    8,160.24x = 88,565,304.96
  5. Step 5: Solve for x
    x = 88,565,304.96/8,160.24
  6. Step 6: Final answer
    x = 10,853.27

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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.