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Finding the Fourth Proportional to 10,919.44, 16,379.16 and 2,711.44

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Solution

The fourth proportional to 10,919.44, 16,379.16 and 2,711.44 is: 4,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.44 : 16,379.16 = 2,711.44 : x
  2. Step 2: Convert to fraction form
    10,919.44/16,379.16 = 2,711.44/x
  3. Step 3: Cross multiply
    10,919.44x = 16,379.16 × 2,711.44
  4. Step 4: Simplify right side
    10,919.44x = 44,411,068.64
  5. Step 5: Solve for x
    x = 44,411,068.64/10,919.44
  6. Step 6: Final answer
    x = 4,067.16

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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.