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Finding the Fourth Proportional to 7,187.44, 9,919.28 and 4,044.23

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Solution

The fourth proportional to 7,187.44, 9,919.28 and 4,044.23 is: 5,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.44 : 9,919.28 = 4,044.23 : x
  2. Step 2: Convert to fraction form
    7,187.44/9,919.28 = 4,044.23/x
  3. Step 3: Cross multiply
    7,187.44x = 9,919.28 × 4,044.23
  4. Step 4: Simplify right side
    7,187.44x = 40,115,849.75
  5. Step 5: Solve for x
    x = 40,115,849.75/7,187.44
  6. Step 6: Final answer
    x = 5,581.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.