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Finding the Fourth Proportional to 8,716.28, 12,028.41 and 4,991

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Solution

The fourth proportional to 8,716.28, 12,028.41 and 4,991 is: 6,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.28 : 12,028.41 = 4,991 : x
  2. Step 2: Convert to fraction form
    8,716.28/12,028.41 = 4,991/x
  3. Step 3: Cross multiply
    8,716.28x = 12,028.41 × 4,991
  4. Step 4: Simplify right side
    8,716.28x = 60,033,794.31
  5. Step 5: Solve for x
    x = 60,033,794.31/8,716.28
  6. Step 6: Final answer
    x = 6,887.55

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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.