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Finding the Fourth Proportional to 8,438.34, 12,654.80 and 2,814.52

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Solution

The fourth proportional to 8,438.34, 12,654.80 and 2,814.52 is: 4,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.34 : 12,654.80 = 2,814.52 : x
  2. Step 2: Convert to fraction form
    8,438.34/12,654.80 = 2,814.52/x
  3. Step 3: Cross multiply
    8,438.34x = 12,654.80 × 2,814.52
  4. Step 4: Simplify right side
    8,438.34x = 35,617,187.70
  5. Step 5: Solve for x
    x = 35,617,187.70/8,438.34
  6. Step 6: Final answer
    x = 4,220.88

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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.