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Finding the Fourth Proportional to 7,961.32, 10,983.78 and 5,473

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Solution

The fourth proportional to 7,961.32, 10,983.78 and 5,473 is: 7,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.32 : 10,983.78 = 5,473 : x
  2. Step 2: Convert to fraction form
    7,961.32/10,983.78 = 5,473/x
  3. Step 3: Cross multiply
    7,961.32x = 10,983.78 × 5,473
  4. Step 4: Simplify right side
    7,961.32x = 60,114,227.94
  5. Step 5: Solve for x
    x = 60,114,227.94/7,961.32
  6. Step 6: Final answer
    x = 7,550.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.