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Finding the Fourth Proportional to 7,938, 10,952.82 and 4,580.28

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Solution

The fourth proportional to 7,938, 10,952.82 and 4,580.28 is: 6,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 10,952.82 = 4,580.28 : x
  2. Step 2: Convert to fraction form
    7,938/10,952.82 = 4,580.28/x
  3. Step 3: Cross multiply
    7,938x = 10,952.82 × 4,580.28
  4. Step 4: Simplify right side
    7,938x = 50,166,982.39
  5. Step 5: Solve for x
    x = 50,166,982.39/7,938
  6. Step 6: Final answer
    x = 6,319.85

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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.