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Finding the Fourth Proportional to 11,741.12, 16,202.82 and 6,363.66

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Solution

The fourth proportional to 11,741.12, 16,202.82 and 6,363.66 is: 8,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.12 : 16,202.82 = 6,363.66 : x
  2. Step 2: Convert to fraction form
    11,741.12/16,202.82 = 6,363.66/x
  3. Step 3: Cross multiply
    11,741.12x = 16,202.82 × 6,363.66
  4. Step 4: Simplify right side
    11,741.12x = 103,109,237.52
  5. Step 5: Solve for x
    x = 103,109,237.52/11,741.12
  6. Step 6: Final answer
    x = 8,781.89

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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.