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Finding the Fourth Proportional to 8,254.32, 12,351.90 and 7,147.56

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Solution

The fourth proportional to 8,254.32, 12,351.90 and 7,147.56 is: 10,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.32 : 12,351.90 = 7,147.56 : x
  2. Step 2: Convert to fraction form
    8,254.32/12,351.90 = 7,147.56/x
  3. Step 3: Cross multiply
    8,254.32x = 12,351.90 × 7,147.56
  4. Step 4: Simplify right side
    8,254.32x = 88,285,946.36
  5. Step 5: Solve for x
    x = 88,285,946.36/8,254.32
  6. Step 6: Final answer
    x = 10,695.73

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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.