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Finding the Fourth Proportional to 6,891.90, 10,315.91 and 5,489.49

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Solution

The fourth proportional to 6,891.90, 10,315.91 and 5,489.49 is: 8,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.90 : 10,315.91 = 5,489.49 : x
  2. Step 2: Convert to fraction form
    6,891.90/10,315.91 = 5,489.49/x
  3. Step 3: Cross multiply
    6,891.90x = 10,315.91 × 5,489.49
  4. Step 4: Simplify right side
    6,891.90x = 56,629,048.29
  5. Step 5: Solve for x
    x = 56,629,048.29/6,891.90
  6. Step 6: Final answer
    x = 8,216.75

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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.