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Finding the Fourth Proportional to 7,945.76, 10,965.15 and 4,408.97

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Solution

The fourth proportional to 7,945.76, 10,965.15 and 4,408.97 is: 6,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.76 : 10,965.15 = 4,408.97 : x
  2. Step 2: Convert to fraction form
    7,945.76/10,965.15 = 4,408.97/x
  3. Step 3: Cross multiply
    7,945.76x = 10,965.15 × 4,408.97
  4. Step 4: Simplify right side
    7,945.76x = 48,345,017.40
  5. Step 5: Solve for x
    x = 48,345,017.40/7,945.76
  6. Step 6: Final answer
    x = 6,084.38

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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.