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Finding the Fourth Proportional to 27,776.32, 41,664.56 and 6,716.32

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Solution

The fourth proportional to 27,776.32, 41,664.56 and 6,716.32 is: 10,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.32 : 41,664.56 = 6,716.32 : x
  2. Step 2: Convert to fraction form
    27,776.32/41,664.56 = 6,716.32/x
  3. Step 3: Cross multiply
    27,776.32x = 41,664.56 × 6,716.32
  4. Step 4: Simplify right side
    27,776.32x = 279,832,517.62
  5. Step 5: Solve for x
    x = 279,832,517.62/27,776.32
  6. Step 6: Final answer
    x = 10,074.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.