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Finding the Fourth Proportional to 8,134.40, 12,188.80 and 4,232.96

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Solution

The fourth proportional to 8,134.40, 12,188.80 and 4,232.96 is: 6,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.40 : 12,188.80 = 4,232.96 : x
  2. Step 2: Convert to fraction form
    8,134.40/12,188.80 = 4,232.96/x
  3. Step 3: Cross multiply
    8,134.40x = 12,188.80 × 4,232.96
  4. Step 4: Simplify right side
    8,134.40x = 51,594,702.85
  5. Step 5: Solve for x
    x = 51,594,702.85/8,134.40
  6. Step 6: Final answer
    x = 6,342.78

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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.