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Finding the Fourth Proportional to 6,800.52, 10,191.20 and 5,407.68

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Solution

The fourth proportional to 6,800.52, 10,191.20 and 5,407.68 is: 8,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.52 : 10,191.20 = 5,407.68 : x
  2. Step 2: Convert to fraction form
    6,800.52/10,191.20 = 5,407.68/x
  3. Step 3: Cross multiply
    6,800.52x = 10,191.20 × 5,407.68
  4. Step 4: Simplify right side
    6,800.52x = 55,110,721.38
  5. Step 5: Solve for x
    x = 55,110,721.38/6,800.52
  6. Step 6: Final answer
    x = 8,103.90

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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.