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Finding the Fourth Proportional to 11,811.91, 16,315.96 and 8,822.55

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Solution

The fourth proportional to 11,811.91, 16,315.96 and 8,822.55 is: 12,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.91 : 16,315.96 = 8,822.55 : x
  2. Step 2: Convert to fraction form
    11,811.91/16,315.96 = 8,822.55/x
  3. Step 3: Cross multiply
    11,811.91x = 16,315.96 × 8,822.55
  4. Step 4: Simplify right side
    11,811.91x = 143,948,397.25
  5. Step 5: Solve for x
    x = 143,948,397.25/11,811.91
  6. Step 6: Final answer
    x = 12,186.72

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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.