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Finding the Fourth Proportional to 27,838.13, 41,759.62 and 7,061.63

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Solution

The fourth proportional to 27,838.13, 41,759.62 and 7,061.63 is: 10,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.13 : 41,759.62 = 7,061.63 : x
  2. Step 2: Convert to fraction form
    27,838.13/41,759.62 = 7,061.63/x
  3. Step 3: Cross multiply
    27,838.13x = 41,759.62 × 7,061.63
  4. Step 4: Simplify right side
    27,838.13x = 294,890,758.93
  5. Step 5: Solve for x
    x = 294,890,758.93/27,838.13
  6. Step 6: Final answer
    x = 10,593.05

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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.