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Finding the Fourth Proportional to 8,438.28, 12,657.33 and 3,174.18

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Solution

The fourth proportional to 8,438.28, 12,657.33 and 3,174.18 is: 4,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.28 : 12,657.33 = 3,174.18 : x
  2. Step 2: Convert to fraction form
    8,438.28/12,657.33 = 3,174.18/x
  3. Step 3: Cross multiply
    8,438.28x = 12,657.33 × 3,174.18
  4. Step 4: Simplify right side
    8,438.28x = 40,176,643.74
  5. Step 5: Solve for x
    x = 40,176,643.74/8,438.28
  6. Step 6: Final answer
    x = 4,761.24

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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.