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Finding the Fourth Proportional to 10,589.98, 15,884.70 and 2,798.86

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Solution

The fourth proportional to 10,589.98, 15,884.70 and 2,798.86 is: 4,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.98 : 15,884.70 = 2,798.86 : x
  2. Step 2: Convert to fraction form
    10,589.98/15,884.70 = 2,798.86/x
  3. Step 3: Cross multiply
    10,589.98x = 15,884.70 × 2,798.86
  4. Step 4: Simplify right side
    10,589.98x = 44,458,997.74
  5. Step 5: Solve for x
    x = 44,458,997.74/10,589.98
  6. Step 6: Final answer
    x = 4,198.21

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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.