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Finding the Fourth Proportional to 27,837.87, 41,753.46 and 7,848.87

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Solution

The fourth proportional to 27,837.87, 41,753.46 and 7,848.87 is: 11,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.87 : 41,753.46 = 7,848.87 : x
  2. Step 2: Convert to fraction form
    27,837.87/41,753.46 = 7,848.87/x
  3. Step 3: Cross multiply
    27,837.87x = 41,753.46 × 7,848.87
  4. Step 4: Simplify right side
    27,837.87x = 327,717,479.59
  5. Step 5: Solve for x
    x = 327,717,479.59/27,837.87
  6. Step 6: Final answer
    x = 11,772.36

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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.