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Finding the Fourth Proportional to 11,758.75, 16,223.49 and 6,722.71

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Solution

The fourth proportional to 11,758.75, 16,223.49 and 6,722.71 is: 9,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.75 : 16,223.49 = 6,722.71 : x
  2. Step 2: Convert to fraction form
    11,758.75/16,223.49 = 6,722.71/x
  3. Step 3: Cross multiply
    11,758.75x = 16,223.49 × 6,722.71
  4. Step 4: Simplify right side
    11,758.75x = 109,065,777.90
  5. Step 5: Solve for x
    x = 109,065,777.90/11,758.75
  6. Step 6: Final answer
    x = 9,275.29

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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.