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Finding the Fourth Proportional to 27,191.22, 40,787.01 and 7,471.86

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Solution

The fourth proportional to 27,191.22, 40,787.01 and 7,471.86 is: 11,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.22 : 40,787.01 = 7,471.86 : x
  2. Step 2: Convert to fraction form
    27,191.22/40,787.01 = 7,471.86/x
  3. Step 3: Cross multiply
    27,191.22x = 40,787.01 × 7,471.86
  4. Step 4: Simplify right side
    27,191.22x = 304,754,828.54
  5. Step 5: Solve for x
    x = 304,754,828.54/27,191.22
  6. Step 6: Final answer
    x = 11,207.84

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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.