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Finding the Fourth Proportional to 7,043.80, 10,552.90 and 5,738.20

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Solution

The fourth proportional to 7,043.80, 10,552.90 and 5,738.20 is: 8,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.80 : 10,552.90 = 5,738.20 : x
  2. Step 2: Convert to fraction form
    7,043.80/10,552.90 = 5,738.20/x
  3. Step 3: Cross multiply
    7,043.80x = 10,552.90 × 5,738.20
  4. Step 4: Simplify right side
    7,043.80x = 60,554,650.78
  5. Step 5: Solve for x
    x = 60,554,650.78/7,043.80
  6. Step 6: Final answer
    x = 8,596.87

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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.