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Finding the Fourth Proportional to 27,347.40, 41,023.44 and 7,626

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Solution

The fourth proportional to 27,347.40, 41,023.44 and 7,626 is: 11,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.40 : 41,023.44 = 7,626 : x
  2. Step 2: Convert to fraction form
    27,347.40/41,023.44 = 7,626/x
  3. Step 3: Cross multiply
    27,347.40x = 41,023.44 × 7,626
  4. Step 4: Simplify right side
    27,347.40x = 312,844,753.44
  5. Step 5: Solve for x
    x = 312,844,753.44/27,347.40
  6. Step 6: Final answer
    x = 11,439.65

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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.