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Finding the Fourth Proportional to 11,186.29, 16,742.93 and 8,223.95

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Solution

The fourth proportional to 11,186.29, 16,742.93 and 8,223.95 is: 12,309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.29 : 16,742.93 = 8,223.95 : x
  2. Step 2: Convert to fraction form
    11,186.29/16,742.93 = 8,223.95/x
  3. Step 3: Cross multiply
    11,186.29x = 16,742.93 × 8,223.95
  4. Step 4: Simplify right side
    11,186.29x = 137,693,019.91
  5. Step 5: Solve for x
    x = 137,693,019.91/11,186.29
  6. Step 6: Final answer
    x = 12,309.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.