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Finding the Fourth Proportional to 7,785.92, 10,744.65 and 4,249.16

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Solution

The fourth proportional to 7,785.92, 10,744.65 and 4,249.16 is: 5,863.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.92 : 10,744.65 = 4,249.16 : x
  2. Step 2: Convert to fraction form
    7,785.92/10,744.65 = 4,249.16/x
  3. Step 3: Cross multiply
    7,785.92x = 10,744.65 × 4,249.16
  4. Step 4: Simplify right side
    7,785.92x = 45,655,736.99
  5. Step 5: Solve for x
    x = 45,655,736.99/7,785.92
  6. Step 6: Final answer
    x = 5,863.88

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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.