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Finding the Fourth Proportional to 11,818.48, 17,727.72 and 8,109.46

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Solution

The fourth proportional to 11,818.48, 17,727.72 and 8,109.46 is: 12,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.48 : 17,727.72 = 8,109.46 : x
  2. Step 2: Convert to fraction form
    11,818.48/17,727.72 = 8,109.46/x
  3. Step 3: Cross multiply
    11,818.48x = 17,727.72 × 8,109.46
  4. Step 4: Simplify right side
    11,818.48x = 143,762,236.23
  5. Step 5: Solve for x
    x = 143,762,236.23/11,818.48
  6. Step 6: Final answer
    x = 12,164.19

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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.