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Finding the Fourth Proportional to 7,322.80, 10,105.76 and 4,136.78

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Solution

The fourth proportional to 7,322.80, 10,105.76 and 4,136.78 is: 5,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.80 : 10,105.76 = 4,136.78 : x
  2. Step 2: Convert to fraction form
    7,322.80/10,105.76 = 4,136.78/x
  3. Step 3: Cross multiply
    7,322.80x = 10,105.76 × 4,136.78
  4. Step 4: Simplify right side
    7,322.80x = 41,805,305.85
  5. Step 5: Solve for x
    x = 41,805,305.85/7,322.80
  6. Step 6: Final answer
    x = 5,708.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.