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Finding the Fourth Proportional to 8,325.78, 12,489.24 and 2,778.90

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Solution

The fourth proportional to 8,325.78, 12,489.24 and 2,778.90 is: 4,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.78 : 12,489.24 = 2,778.90 : x
  2. Step 2: Convert to fraction form
    8,325.78/12,489.24 = 2,778.90/x
  3. Step 3: Cross multiply
    8,325.78x = 12,489.24 × 2,778.90
  4. Step 4: Simplify right side
    8,325.78x = 34,706,349.04
  5. Step 5: Solve for x
    x = 34,706,349.04/8,325.78
  6. Step 6: Final answer
    x = 4,168.54

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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.