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Finding the Fourth Proportional to 11,801.84, 16,288.09 and 7,086.42

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Solution

The fourth proportional to 11,801.84, 16,288.09 and 7,086.42 is: 9,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.84 : 16,288.09 = 7,086.42 : x
  2. Step 2: Convert to fraction form
    11,801.84/16,288.09 = 7,086.42/x
  3. Step 3: Cross multiply
    11,801.84x = 16,288.09 × 7,086.42
  4. Step 4: Simplify right side
    11,801.84x = 115,424,229.02
  5. Step 5: Solve for x
    x = 115,424,229.02/11,801.84
  6. Step 6: Final answer
    x = 9,780.19

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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.