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Finding the Fourth Proportional to 11,170.24, 15,414.96 and 6,202.24

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Solution

The fourth proportional to 11,170.24, 15,414.96 and 6,202.24 is: 8,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.24 : 15,414.96 = 6,202.24 : x
  2. Step 2: Convert to fraction form
    11,170.24/15,414.96 = 6,202.24/x
  3. Step 3: Cross multiply
    11,170.24x = 15,414.96 × 6,202.24
  4. Step 4: Simplify right side
    11,170.24x = 95,607,281.51
  5. Step 5: Solve for x
    x = 95,607,281.51/11,170.24
  6. Step 6: Final answer
    x = 8,559.11

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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.