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Finding the Fourth Proportional to 6,723.90, 10,085.85 and 5,187.90

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Solution

The fourth proportional to 6,723.90, 10,085.85 and 5,187.90 is: 7,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.90 : 10,085.85 = 5,187.90 : x
  2. Step 2: Convert to fraction form
    6,723.90/10,085.85 = 5,187.90/x
  3. Step 3: Cross multiply
    6,723.90x = 10,085.85 × 5,187.90
  4. Step 4: Simplify right side
    6,723.90x = 52,324,381.22
  5. Step 5: Solve for x
    x = 52,324,381.22/6,723.90
  6. Step 6: Final answer
    x = 7,781.85

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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.