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Finding the Fourth Proportional to 8,438.56, 12,650.66 and 5,153.96

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Solution

The fourth proportional to 8,438.56, 12,650.66 and 5,153.96 is: 7,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.56 : 12,650.66 = 5,153.96 : x
  2. Step 2: Convert to fraction form
    8,438.56/12,650.66 = 5,153.96/x
  3. Step 3: Cross multiply
    8,438.56x = 12,650.66 × 5,153.96
  4. Step 4: Simplify right side
    8,438.56x = 65,200,995.61
  5. Step 5: Solve for x
    x = 65,200,995.61/8,438.56
  6. Step 6: Final answer
    x = 7,726.55

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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.