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Finding the Fourth Proportional to 10,882.14, 16,325.23 and 3,488.46

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Solution

The fourth proportional to 10,882.14, 16,325.23 and 3,488.46 is: 5,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.14 : 16,325.23 = 3,488.46 : x
  2. Step 2: Convert to fraction form
    10,882.14/16,325.23 = 3,488.46/x
  3. Step 3: Cross multiply
    10,882.14x = 16,325.23 × 3,488.46
  4. Step 4: Simplify right side
    10,882.14x = 56,949,911.85
  5. Step 5: Solve for x
    x = 56,949,911.85/10,882.14
  6. Step 6: Final answer
    x = 5,233.34

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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.