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Finding the Fourth Proportional to 7,874.20, 11,813.24 and 2,327.52

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Solution

The fourth proportional to 7,874.20, 11,813.24 and 2,327.52 is: 3,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.20 : 11,813.24 = 2,327.52 : x
  2. Step 2: Convert to fraction form
    7,874.20/11,813.24 = 2,327.52/x
  3. Step 3: Cross multiply
    7,874.20x = 11,813.24 × 2,327.52
  4. Step 4: Simplify right side
    7,874.20x = 27,495,552.36
  5. Step 5: Solve for x
    x = 27,495,552.36/7,874.20
  6. Step 6: Final answer
    x = 3,491.85

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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.