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Finding the Fourth Proportional to 7,785.80, 10,744.56 and 4,249.32

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Solution

The fourth proportional to 7,785.80, 10,744.56 and 4,249.32 is: 5,864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.80 : 10,744.56 = 4,249.32 : x
  2. Step 2: Convert to fraction form
    7,785.80/10,744.56 = 4,249.32/x
  3. Step 3: Cross multiply
    7,785.80x = 10,744.56 × 4,249.32
  4. Step 4: Simplify right side
    7,785.80x = 45,657,073.70
  5. Step 5: Solve for x
    x = 45,657,073.70/7,785.80
  6. Step 6: Final answer
    x = 5,864.15

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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.