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Finding the Fourth Proportional to 27,110.28, 40,661.26 and 7,390.42

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Solution

The fourth proportional to 27,110.28, 40,661.26 and 7,390.42 is: 11,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.28 : 40,661.26 = 7,390.42 : x
  2. Step 2: Convert to fraction form
    27,110.28/40,661.26 = 7,390.42/x
  3. Step 3: Cross multiply
    27,110.28x = 40,661.26 × 7,390.42
  4. Step 4: Simplify right side
    27,110.28x = 300,503,789.13
  5. Step 5: Solve for x
    x = 300,503,789.13/27,110.28
  6. Step 6: Final answer
    x = 11,084.50

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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.