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Finding the Fourth Proportional to 27,251.75, 40,877.22 and 7,529.87

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Solution

The fourth proportional to 27,251.75, 40,877.22 and 7,529.87 is: 11,294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251.75 : 40,877.22 = 7,529.87 : x
  2. Step 2: Convert to fraction form
    27,251.75/40,877.22 = 7,529.87/x
  3. Step 3: Cross multiply
    27,251.75x = 40,877.22 × 7,529.87
  4. Step 4: Simplify right side
    27,251.75x = 307,800,254.75
  5. Step 5: Solve for x
    x = 307,800,254.75/27,251.75
  6. Step 6: Final answer
    x = 11,294.70

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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.