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Finding the Fourth Proportional to 8,512.40, 12,732.60 and 7,641.20

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Solution

The fourth proportional to 8,512.40, 12,732.60 and 7,641.20 is: 11,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.40 : 12,732.60 = 7,641.20 : x
  2. Step 2: Convert to fraction form
    8,512.40/12,732.60 = 7,641.20/x
  3. Step 3: Cross multiply
    8,512.40x = 12,732.60 × 7,641.20
  4. Step 4: Simplify right side
    8,512.40x = 97,292,343.12
  5. Step 5: Solve for x
    x = 97,292,343.12/8,512.40
  6. Step 6: Final answer
    x = 11,429.48

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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.