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Finding the Fourth Proportional to 11,811.10, 16,223.98 and 11,752.78

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Solution

The fourth proportional to 11,811.10, 16,223.98 and 11,752.78 is: 16,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.10 : 16,223.98 = 11,752.78 : x
  2. Step 2: Convert to fraction form
    11,811.10/16,223.98 = 11,752.78/x
  3. Step 3: Cross multiply
    11,811.10x = 16,223.98 × 11,752.78
  4. Step 4: Simplify right side
    11,811.10x = 190,676,867.66
  5. Step 5: Solve for x
    x = 190,676,867.66/11,811.10
  6. Step 6: Final answer
    x = 16,143.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.