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Finding the Fourth Proportional to 27,585.78, 41,371.38 and 7,865.46

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Solution

The fourth proportional to 27,585.78, 41,371.38 and 7,865.46 is: 11,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.78 : 41,371.38 = 7,865.46 : x
  2. Step 2: Convert to fraction form
    27,585.78/41,371.38 = 7,865.46/x
  3. Step 3: Cross multiply
    27,585.78x = 41,371.38 × 7,865.46
  4. Step 4: Simplify right side
    27,585.78x = 325,404,934.53
  5. Step 5: Solve for x
    x = 325,404,934.53/27,585.78
  6. Step 6: Final answer
    x = 11,796.11

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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.