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Finding the Fourth Proportional to 8,155.62, 12,244.86 and 5,400

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Solution

The fourth proportional to 8,155.62, 12,244.86 and 5,400 is: 8,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.62 : 12,244.86 = 5,400 : x
  2. Step 2: Convert to fraction form
    8,155.62/12,244.86 = 5,400/x
  3. Step 3: Cross multiply
    8,155.62x = 12,244.86 × 5,400
  4. Step 4: Simplify right side
    8,155.62x = 66,122,244
  5. Step 5: Solve for x
    x = 66,122,244/8,155.62
  6. Step 6: Final answer
    x = 8,107.57

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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.