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Finding the Fourth Proportional to 10,753.64, 16,123.09 and 5,478.44

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Solution

The fourth proportional to 10,753.64, 16,123.09 and 5,478.44 is: 8,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.64 : 16,123.09 = 5,478.44 : x
  2. Step 2: Convert to fraction form
    10,753.64/16,123.09 = 5,478.44/x
  3. Step 3: Cross multiply
    10,753.64x = 16,123.09 × 5,478.44
  4. Step 4: Simplify right side
    10,753.64x = 88,329,273.17
  5. Step 5: Solve for x
    x = 88,329,273.17/10,753.64
  6. Step 6: Final answer
    x = 8,213.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.