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Finding the Fourth Proportional to 10,609.41, 15,914.16 and 3,589.48

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Solution

The fourth proportional to 10,609.41, 15,914.16 and 3,589.48 is: 5,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.41 : 15,914.16 = 3,589.48 : x
  2. Step 2: Convert to fraction form
    10,609.41/15,914.16 = 3,589.48/x
  3. Step 3: Cross multiply
    10,609.41x = 15,914.16 × 3,589.48
  4. Step 4: Simplify right side
    10,609.41x = 57,123,559.04
  5. Step 5: Solve for x
    x = 57,123,559.04/10,609.41
  6. Step 6: Final answer
    x = 5,384.24

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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.