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Finding the Fourth Proportional to 10,771.13, 14,863.88 and 5,991.08

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Solution

The fourth proportional to 10,771.13, 14,863.88 and 5,991.08 is: 8,267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.13 : 14,863.88 = 5,991.08 : x
  2. Step 2: Convert to fraction form
    10,771.13/14,863.88 = 5,991.08/x
  3. Step 3: Cross multiply
    10,771.13x = 14,863.88 × 5,991.08
  4. Step 4: Simplify right side
    10,771.13x = 89,050,589.92
  5. Step 5: Solve for x
    x = 89,050,589.92/10,771.13
  6. Step 6: Final answer
    x = 8,267.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.