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Finding the Fourth Proportional to 10,609.29, 15,913.13 and 3,589.89

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Solution

The fourth proportional to 10,609.29, 15,913.13 and 3,589.89 is: 5,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.29 : 15,913.13 = 3,589.89 : x
  2. Step 2: Convert to fraction form
    10,609.29/15,913.13 = 3,589.89/x
  3. Step 3: Cross multiply
    10,609.29x = 15,913.13 × 3,589.89
  4. Step 4: Simplify right side
    10,609.29x = 57,126,368.31
  5. Step 5: Solve for x
    x = 57,126,368.31/10,609.29
  6. Step 6: Final answer
    x = 5,384.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.