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Finding the Fourth Proportional to 8,683.46, 13,062.14 and 7,871.52

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Solution

The fourth proportional to 8,683.46, 13,062.14 and 7,871.52 is: 11,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.46 : 13,062.14 = 7,871.52 : x
  2. Step 2: Convert to fraction form
    8,683.46/13,062.14 = 7,871.52/x
  3. Step 3: Cross multiply
    8,683.46x = 13,062.14 × 7,871.52
  4. Step 4: Simplify right side
    8,683.46x = 102,818,856.90
  5. Step 5: Solve for x
    x = 102,818,856.90/8,683.46
  6. Step 6: Final answer
    x = 11,840.78

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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.