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Finding the Fourth Proportional to 7,494.97, 10,343.00 and 4,137.78

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Solution

The fourth proportional to 7,494.97, 10,343.00 and 4,137.78 is: 5,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.97 : 10,343.00 = 4,137.78 : x
  2. Step 2: Convert to fraction form
    7,494.97/10,343.00 = 4,137.78/x
  3. Step 3: Cross multiply
    7,494.97x = 10,343.00 × 4,137.78
  4. Step 4: Simplify right side
    7,494.97x = 42,797,037.85
  5. Step 5: Solve for x
    x = 42,797,037.85/7,494.97
  6. Step 6: Final answer
    x = 5,710.10

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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.