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Finding the Fourth Proportional to 7,669.50, 10,589.15 and 5,873.80

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Solution

The fourth proportional to 7,669.50, 10,589.15 and 5,873.80 is: 8,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.50 : 10,589.15 = 5,873.80 : x
  2. Step 2: Convert to fraction form
    7,669.50/10,589.15 = 5,873.80/x
  3. Step 3: Cross multiply
    7,669.50x = 10,589.15 × 5,873.80
  4. Step 4: Simplify right side
    7,669.50x = 62,198,581.36
  5. Step 5: Solve for x
    x = 62,198,581.36/7,669.50
  6. Step 6: Final answer
    x = 8,109.86

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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.