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Finding the Fourth Proportional to 8,254.19, 12,351.71 and 7,147.43

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Solution

The fourth proportional to 8,254.19, 12,351.71 and 7,147.43 is: 10,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.19 : 12,351.71 = 7,147.43 : x
  2. Step 2: Convert to fraction form
    8,254.19/12,351.71 = 7,147.43/x
  3. Step 3: Cross multiply
    8,254.19x = 12,351.71 × 7,147.43
  4. Step 4: Simplify right side
    8,254.19x = 88,282,982.61
  5. Step 5: Solve for x
    x = 88,282,982.61/8,254.19
  6. Step 6: Final answer
    x = 10,695.54

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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.