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Finding the Fourth Proportional to 11,922.66, 16,452 and 6,616.17

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Solution

The fourth proportional to 11,922.66, 16,452 and 6,616.17 is: 9,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.66 : 16,452 = 6,616.17 : x
  2. Step 2: Convert to fraction form
    11,922.66/16,452 = 6,616.17/x
  3. Step 3: Cross multiply
    11,922.66x = 16,452 × 6,616.17
  4. Step 4: Simplify right side
    11,922.66x = 108,849,228.84
  5. Step 5: Solve for x
    x = 108,849,228.84/11,922.66
  6. Step 6: Final answer
    x = 9,129.61

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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.