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Finding the Fourth Proportional to 6,801.52, 10,192.70 and 5,408.68

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Solution

The fourth proportional to 6,801.52, 10,192.70 and 5,408.68 is: 8,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.52 : 10,192.70 = 5,408.68 : x
  2. Step 2: Convert to fraction form
    6,801.52/10,192.70 = 5,408.68/x
  3. Step 3: Cross multiply
    6,801.52x = 10,192.70 × 5,408.68
  4. Step 4: Simplify right side
    6,801.52x = 55,129,001.67
  5. Step 5: Solve for x
    x = 55,129,001.67/6,801.52
  6. Step 6: Final answer
    x = 8,105.39

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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.