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Finding the Fourth Proportional to 7,917.36, 10,975.92 and 7,496

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Solution

The fourth proportional to 7,917.36, 10,975.92 and 7,496 is: 10,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.36 : 10,975.92 = 7,496 : x
  2. Step 2: Convert to fraction form
    7,917.36/10,975.92 = 7,496/x
  3. Step 3: Cross multiply
    7,917.36x = 10,975.92 × 7,496
  4. Step 4: Simplify right side
    7,917.36x = 82,275,496.32
  5. Step 5: Solve for x
    x = 82,275,496.32/7,917.36
  6. Step 6: Final answer
    x = 10,391.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.