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Finding the Fourth Proportional to 8,103.53, 12,141.47 and 5,751.90

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Solution

The fourth proportional to 8,103.53, 12,141.47 and 5,751.90 is: 8,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.53 : 12,141.47 = 5,751.90 : x
  2. Step 2: Convert to fraction form
    8,103.53/12,141.47 = 5,751.90/x
  3. Step 3: Cross multiply
    8,103.53x = 12,141.47 × 5,751.90
  4. Step 4: Simplify right side
    8,103.53x = 69,836,521.29
  5. Step 5: Solve for x
    x = 69,836,521.29/8,103.53
  6. Step 6: Final answer
    x = 8,618.04

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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.