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Finding the Fourth Proportional to 8,378.49, 12,558.96 and 2,829.90

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Solution

The fourth proportional to 8,378.49, 12,558.96 and 2,829.90 is: 4,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.49 : 12,558.96 = 2,829.90 : x
  2. Step 2: Convert to fraction form
    8,378.49/12,558.96 = 2,829.90/x
  3. Step 3: Cross multiply
    8,378.49x = 12,558.96 × 2,829.90
  4. Step 4: Simplify right side
    8,378.49x = 35,540,600.90
  5. Step 5: Solve for x
    x = 35,540,600.90/8,378.49
  6. Step 6: Final answer
    x = 4,241.89

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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.