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Finding the Fourth Proportional to 11,781.43, 16,251.89 and 7,466.63

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Solution

The fourth proportional to 11,781.43, 16,251.89 and 7,466.63 is: 10,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.43 : 16,251.89 = 7,466.63 : x
  2. Step 2: Convert to fraction form
    11,781.43/16,251.89 = 7,466.63/x
  3. Step 3: Cross multiply
    11,781.43x = 16,251.89 × 7,466.63
  4. Step 4: Simplify right side
    11,781.43x = 121,346,849.43
  5. Step 5: Solve for x
    x = 121,346,849.43/11,781.43
  6. Step 6: Final answer
    x = 10,299.84

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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.