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Finding the Fourth Proportional to 7,789.78, 10,745.89 and 5,268.52

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Solution

The fourth proportional to 7,789.78, 10,745.89 and 5,268.52 is: 7,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.78 : 10,745.89 = 5,268.52 : x
  2. Step 2: Convert to fraction form
    7,789.78/10,745.89 = 5,268.52/x
  3. Step 3: Cross multiply
    7,789.78x = 10,745.89 × 5,268.52
  4. Step 4: Simplify right side
    7,789.78x = 56,614,936.38
  5. Step 5: Solve for x
    x = 56,614,936.38/7,789.78
  6. Step 6: Final answer
    x = 7,267.85

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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.