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Finding the Fourth Proportional to 6,859.89, 10,290.75 and 3,162.96

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Solution

The fourth proportional to 6,859.89, 10,290.75 and 3,162.96 is: 4,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.89 : 10,290.75 = 3,162.96 : x
  2. Step 2: Convert to fraction form
    6,859.89/10,290.75 = 3,162.96/x
  3. Step 3: Cross multiply
    6,859.89x = 10,290.75 × 3,162.96
  4. Step 4: Simplify right side
    6,859.89x = 32,549,230.62
  5. Step 5: Solve for x
    x = 32,549,230.62/6,859.89
  6. Step 6: Final answer
    x = 4,744.86

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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.