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Finding the Fourth Proportional to 7,785.59, 10,744.11 and 4,248.83

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Solution

The fourth proportional to 7,785.59, 10,744.11 and 4,248.83 is: 5,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.59 : 10,744.11 = 4,248.83 : x
  2. Step 2: Convert to fraction form
    7,785.59/10,744.11 = 4,248.83/x
  3. Step 3: Cross multiply
    7,785.59x = 10,744.11 × 4,248.83
  4. Step 4: Simplify right side
    7,785.59x = 45,649,896.89
  5. Step 5: Solve for x
    x = 45,649,896.89/7,785.59
  6. Step 6: Final answer
    x = 5,863.38

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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.