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Finding the Fourth Proportional to 7,960.76, 10,992.48 and 6,641.38

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Solution

The fourth proportional to 7,960.76, 10,992.48 and 6,641.38 is: 9,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.76 : 10,992.48 = 6,641.38 : x
  2. Step 2: Convert to fraction form
    7,960.76/10,992.48 = 6,641.38/x
  3. Step 3: Cross multiply
    7,960.76x = 10,992.48 × 6,641.38
  4. Step 4: Simplify right side
    7,960.76x = 73,005,236.82
  5. Step 5: Solve for x
    x = 73,005,236.82/7,960.76
  6. Step 6: Final answer
    x = 9,170.64

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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.