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Finding the Fourth Proportional to 7,974.54, 11,005.38 and 5,326.38

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Solution

The fourth proportional to 7,974.54, 11,005.38 and 5,326.38 is: 7,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.54 : 11,005.38 = 5,326.38 : x
  2. Step 2: Convert to fraction form
    7,974.54/11,005.38 = 5,326.38/x
  3. Step 3: Cross multiply
    7,974.54x = 11,005.38 × 5,326.38
  4. Step 4: Simplify right side
    7,974.54x = 58,618,835.92
  5. Step 5: Solve for x
    x = 58,618,835.92/7,974.54
  6. Step 6: Final answer
    x = 7,350.75

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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.