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Finding the Fourth Proportional to 10,872.70, 16,305.78 and 5,675.74

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Solution

The fourth proportional to 10,872.70, 16,305.78 and 5,675.74 is: 8,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.70 : 16,305.78 = 5,675.74 : x
  2. Step 2: Convert to fraction form
    10,872.70/16,305.78 = 5,675.74/x
  3. Step 3: Cross multiply
    10,872.70x = 16,305.78 × 5,675.74
  4. Step 4: Simplify right side
    10,872.70x = 92,547,367.78
  5. Step 5: Solve for x
    x = 92,547,367.78/10,872.70
  6. Step 6: Final answer
    x = 8,511.90

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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.