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Finding the Fourth Proportional to 10,589.34, 15,882.09 and 4,013.36

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Solution

The fourth proportional to 10,589.34, 15,882.09 and 4,013.36 is: 6,019.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.34 : 15,882.09 = 4,013.36 : x
  2. Step 2: Convert to fraction form
    10,589.34/15,882.09 = 4,013.36/x
  3. Step 3: Cross multiply
    10,589.34x = 15,882.09 × 4,013.36
  4. Step 4: Simplify right side
    10,589.34x = 63,740,544.72
  5. Step 5: Solve for x
    x = 63,740,544.72/10,589.34
  6. Step 6: Final answer
    x = 6,019.31

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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.