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Finding the Fourth Proportional to 27,306.30, 40,959.48 and 7,584.87

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Solution

The fourth proportional to 27,306.30, 40,959.48 and 7,584.87 is: 11,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,306.30 : 40,959.48 = 7,584.87 : x
  2. Step 2: Convert to fraction form
    27,306.30/40,959.48 = 7,584.87/x
  3. Step 3: Cross multiply
    27,306.30x = 40,959.48 × 7,584.87
  4. Step 4: Simplify right side
    27,306.30x = 310,672,331.07
  5. Step 5: Solve for x
    x = 310,672,331.07/27,306.30
  6. Step 6: Final answer
    x = 11,377.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.