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Finding the Fourth Proportional to 7,785.75, 10,744.38 and 4,248.97

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Solution

The fourth proportional to 7,785.75, 10,744.38 and 4,248.97 is: 5,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.75 : 10,744.38 = 4,248.97 : x
  2. Step 2: Convert to fraction form
    7,785.75/10,744.38 = 4,248.97/x
  3. Step 3: Cross multiply
    7,785.75x = 10,744.38 × 4,248.97
  4. Step 4: Simplify right side
    7,785.75x = 45,652,581.86
  5. Step 5: Solve for x
    x = 45,652,581.86/7,785.75
  6. Step 6: Final answer
    x = 5,863.60

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Why These Related Problems?

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