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Finding the Fourth Proportional to 10,589.88, 15,887.58 and 3,194.68

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Solution

The fourth proportional to 10,589.88, 15,887.58 and 3,194.68 is: 4,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.88 : 15,887.58 = 3,194.68 : x
  2. Step 2: Convert to fraction form
    10,589.88/15,887.58 = 3,194.68/x
  3. Step 3: Cross multiply
    10,589.88x = 15,887.58 × 3,194.68
  4. Step 4: Simplify right side
    10,589.88x = 50,755,734.07
  5. Step 5: Solve for x
    x = 50,755,734.07/10,589.88
  6. Step 6: Final answer
    x = 4,792.85

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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.