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Finding the Fourth Proportional to 8,520.36, 12,781.74 and 2,972.90

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Solution

The fourth proportional to 8,520.36, 12,781.74 and 2,972.90 is: 4,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.36 : 12,781.74 = 2,972.90 : x
  2. Step 2: Convert to fraction form
    8,520.36/12,781.74 = 2,972.90/x
  3. Step 3: Cross multiply
    8,520.36x = 12,781.74 × 2,972.90
  4. Step 4: Simplify right side
    8,520.36x = 37,998,770.94
  5. Step 5: Solve for x
    x = 37,998,770.94/8,520.36
  6. Step 6: Final answer
    x = 4,459.76

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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.