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Finding the Fourth Proportional to 11,902.90, 16,414.66 and 7,122.08

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Solution

The fourth proportional to 11,902.90, 16,414.66 and 7,122.08 is: 9,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.90 : 16,414.66 = 7,122.08 : x
  2. Step 2: Convert to fraction form
    11,902.90/16,414.66 = 7,122.08/x
  3. Step 3: Cross multiply
    11,902.90x = 16,414.66 × 7,122.08
  4. Step 4: Simplify right side
    11,902.90x = 116,906,521.69
  5. Step 5: Solve for x
    x = 116,906,521.69/11,902.90
  6. Step 6: Final answer
    x = 9,821.68

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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.