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Finding the Fourth Proportional to 11,202.92, 15,460.41 and 6,167.46

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Solution

The fourth proportional to 11,202.92, 15,460.41 and 6,167.46 is: 8,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.92 : 15,460.41 = 6,167.46 : x
  2. Step 2: Convert to fraction form
    11,202.92/15,460.41 = 6,167.46/x
  3. Step 3: Cross multiply
    11,202.92x = 15,460.41 × 6,167.46
  4. Step 4: Simplify right side
    11,202.92x = 95,351,460.26
  5. Step 5: Solve for x
    x = 95,351,460.26/11,202.92
  6. Step 6: Final answer
    x = 8,511.30

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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.