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Finding the Fourth Proportional to 7,363.60, 11,029.20 and 6,542.80

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Solution

The fourth proportional to 7,363.60, 11,029.20 and 6,542.80 is: 9,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,363.60 : 11,029.20 = 6,542.80 : x
  2. Step 2: Convert to fraction form
    7,363.60/11,029.20 = 6,542.80/x
  3. Step 3: Cross multiply
    7,363.60x = 11,029.20 × 6,542.80
  4. Step 4: Simplify right side
    7,363.60x = 72,161,849.76
  5. Step 5: Solve for x
    x = 72,161,849.76/7,363.60
  6. Step 6: Final answer
    x = 9,799.81

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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.