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Finding the Fourth Proportional to 27,565.16, 41,348.21 and 7,844.22

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Solution

The fourth proportional to 27,565.16, 41,348.21 and 7,844.22 is: 11,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.16 : 41,348.21 = 7,844.22 : x
  2. Step 2: Convert to fraction form
    27,565.16/41,348.21 = 7,844.22/x
  3. Step 3: Cross multiply
    27,565.16x = 41,348.21 × 7,844.22
  4. Step 4: Simplify right side
    27,565.16x = 324,344,416.63
  5. Step 5: Solve for x
    x = 324,344,416.63/27,565.16
  6. Step 6: Final answer
    x = 11,766.46

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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.