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Finding the Fourth Proportional to 10,949.70, 16,424.55 and 4,377.54

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Solution

The fourth proportional to 10,949.70, 16,424.55 and 4,377.54 is: 6,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949.70 : 16,424.55 = 4,377.54 : x
  2. Step 2: Convert to fraction form
    10,949.70/16,424.55 = 4,377.54/x
  3. Step 3: Cross multiply
    10,949.70x = 16,424.55 × 4,377.54
  4. Step 4: Simplify right side
    10,949.70x = 71,899,124.61
  5. Step 5: Solve for x
    x = 71,899,124.61/10,949.70
  6. Step 6: Final answer
    x = 6,566.31

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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.