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Finding the Fourth Proportional to 11,867.75, 16,377.78 and 7,683.29

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Solution

The fourth proportional to 11,867.75, 16,377.78 and 7,683.29 is: 10,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.75 : 16,377.78 = 7,683.29 : x
  2. Step 2: Convert to fraction form
    11,867.75/16,377.78 = 7,683.29/x
  3. Step 3: Cross multiply
    11,867.75x = 16,377.78 × 7,683.29
  4. Step 4: Simplify right side
    11,867.75x = 125,835,233.30
  5. Step 5: Solve for x
    x = 125,835,233.30/11,867.75
  6. Step 6: Final answer
    x = 10,603.12

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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.