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Finding the Fourth Proportional to 27,251.63, 40,877.02 and 7,529.75

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Solution

The fourth proportional to 27,251.63, 40,877.02 and 7,529.75 is: 11,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251.63 : 40,877.02 = 7,529.75 : x
  2. Step 2: Convert to fraction form
    27,251.63/40,877.02 = 7,529.75/x
  3. Step 3: Cross multiply
    27,251.63x = 40,877.02 × 7,529.75
  4. Step 4: Simplify right side
    27,251.63x = 307,793,741.35
  5. Step 5: Solve for x
    x = 307,793,741.35/27,251.63
  6. Step 6: Final answer
    x = 11,294.51

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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.