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Finding the Fourth Proportional to 11,781.50, 16,251.98 and 7,466.69

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Solution

The fourth proportional to 11,781.50, 16,251.98 and 7,466.69 is: 10,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.50 : 16,251.98 = 7,466.69 : x
  2. Step 2: Convert to fraction form
    11,781.50/16,251.98 = 7,466.69/x
  3. Step 3: Cross multiply
    11,781.50x = 16,251.98 × 7,466.69
  4. Step 4: Simplify right side
    11,781.50x = 121,348,499.84
  5. Step 5: Solve for x
    x = 121,348,499.84/11,781.50
  6. Step 6: Final answer
    x = 10,299.92

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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.