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Finding the Fourth Proportional to 8,134.32, 12,200.40 and 2,291.40

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Solution

The fourth proportional to 8,134.32, 12,200.40 and 2,291.40 is: 3,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.32 : 12,200.40 = 2,291.40 : x
  2. Step 2: Convert to fraction form
    8,134.32/12,200.40 = 2,291.40/x
  3. Step 3: Cross multiply
    8,134.32x = 12,200.40 × 2,291.40
  4. Step 4: Simplify right side
    8,134.32x = 27,955,996.56
  5. Step 5: Solve for x
    x = 27,955,996.56/8,134.32
  6. Step 6: Final answer
    x = 3,436.80

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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.