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Finding the Fourth Proportional to 10,964.64, 16,440.99 and 5,340.41

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Solution

The fourth proportional to 10,964.64, 16,440.99 and 5,340.41 is: 8,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.64 : 16,440.99 = 5,340.41 : x
  2. Step 2: Convert to fraction form
    10,964.64/16,440.99 = 5,340.41/x
  3. Step 3: Cross multiply
    10,964.64x = 16,440.99 × 5,340.41
  4. Step 4: Simplify right side
    10,964.64x = 87,801,545.20
  5. Step 5: Solve for x
    x = 87,801,545.20/10,964.64
  6. Step 6: Final answer
    x = 8,007.70

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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.