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Finding the Fourth Proportional to 27,838.64, 41,760.36 and 7,062.14

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Solution

The fourth proportional to 27,838.64, 41,760.36 and 7,062.14 is: 10,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.64 : 41,760.36 = 7,062.14 : x
  2. Step 2: Convert to fraction form
    27,838.64/41,760.36 = 7,062.14/x
  3. Step 3: Cross multiply
    27,838.64x = 41,760.36 × 7,062.14
  4. Step 4: Simplify right side
    27,838.64x = 294,917,508.77
  5. Step 5: Solve for x
    x = 294,917,508.77/27,838.64
  6. Step 6: Final answer
    x = 10,593.82

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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.