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Finding the Fourth Proportional to 11,717.92, 16,171.44 and 6,683.11

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Solution

The fourth proportional to 11,717.92, 16,171.44 and 6,683.11 is: 9,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.92 : 16,171.44 = 6,683.11 : x
  2. Step 2: Convert to fraction form
    11,717.92/16,171.44 = 6,683.11/x
  3. Step 3: Cross multiply
    11,717.92x = 16,171.44 × 6,683.11
  4. Step 4: Simplify right side
    11,717.92x = 108,075,512.38
  5. Step 5: Solve for x
    x = 108,075,512.38/11,717.92
  6. Step 6: Final answer
    x = 9,223.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.