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Finding the Fourth Proportional to 10,675.88, 16,013.82 and 5,478.44

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Solution

The fourth proportional to 10,675.88, 16,013.82 and 5,478.44 is: 8,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.88 : 16,013.82 = 5,478.44 : x
  2. Step 2: Convert to fraction form
    10,675.88/16,013.82 = 5,478.44/x
  3. Step 3: Cross multiply
    10,675.88x = 16,013.82 × 5,478.44
  4. Step 4: Simplify right side
    10,675.88x = 87,730,752.04
  5. Step 5: Solve for x
    x = 87,730,752.04/10,675.88
  6. Step 6: Final answer
    x = 8,217.66

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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.