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Finding the Fourth Proportional to 7,917.75, 10,920.56 and 6,665.49

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Solution

The fourth proportional to 7,917.75, 10,920.56 and 6,665.49 is: 9,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.75 : 10,920.56 = 6,665.49 : x
  2. Step 2: Convert to fraction form
    7,917.75/10,920.56 = 6,665.49/x
  3. Step 3: Cross multiply
    7,917.75x = 10,920.56 × 6,665.49
  4. Step 4: Simplify right side
    7,917.75x = 72,790,850.15
  5. Step 5: Solve for x
    x = 72,790,850.15/7,917.75
  6. Step 6: Final answer
    x = 9,193.38

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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.