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Finding the Fourth Proportional to 8,255.32, 12,353.40 and 7,148.56

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Solution

The fourth proportional to 8,255.32, 12,353.40 and 7,148.56 is: 10,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.32 : 12,353.40 = 7,148.56 : x
  2. Step 2: Convert to fraction form
    8,255.32/12,353.40 = 7,148.56/x
  3. Step 3: Cross multiply
    8,255.32x = 12,353.40 × 7,148.56
  4. Step 4: Simplify right side
    8,255.32x = 88,309,021.10
  5. Step 5: Solve for x
    x = 88,309,021.10/8,255.32
  6. Step 6: Final answer
    x = 10,697.23

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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.