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Finding the Fourth Proportional to 27,601.56, 41,403.71 and 7,883.02

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Solution

The fourth proportional to 27,601.56, 41,403.71 and 7,883.02 is: 11,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.56 : 41,403.71 = 7,883.02 : x
  2. Step 2: Convert to fraction form
    27,601.56/41,403.71 = 7,883.02/x
  3. Step 3: Cross multiply
    27,601.56x = 41,403.71 × 7,883.02
  4. Step 4: Simplify right side
    27,601.56x = 326,386,301.12
  5. Step 5: Solve for x
    x = 326,386,301.12/27,601.56
  6. Step 6: Final answer
    x = 11,824.92

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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.