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Finding the Fourth Proportional to 27,707.59, 41,561.52 and 7,986.25

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Solution

The fourth proportional to 27,707.59, 41,561.52 and 7,986.25 is: 11,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.59 : 41,561.52 = 7,986.25 : x
  2. Step 2: Convert to fraction form
    27,707.59/41,561.52 = 7,986.25/x
  3. Step 3: Cross multiply
    27,707.59x = 41,561.52 × 7,986.25
  4. Step 4: Simplify right side
    27,707.59x = 331,920,689.10
  5. Step 5: Solve for x
    x = 331,920,689.10/27,707.59
  6. Step 6: Final answer
    x = 11,979.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.