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Finding the Fourth Proportional to 11,107.67, 16,664.24 and 7,827.17

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Solution

The fourth proportional to 11,107.67, 16,664.24 and 7,827.17 is: 11,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.67 : 16,664.24 = 7,827.17 : x
  2. Step 2: Convert to fraction form
    11,107.67/16,664.24 = 7,827.17/x
  3. Step 3: Cross multiply
    11,107.67x = 16,664.24 × 7,827.17
  4. Step 4: Simplify right side
    11,107.67x = 130,433,839.40
  5. Step 5: Solve for x
    x = 130,433,839.40/11,107.67
  6. Step 6: Final answer
    x = 11,742.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.