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Finding the Fourth Proportional to 11,902.68, 16,426.14 and 8,365.08

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Solution

The fourth proportional to 11,902.68, 16,426.14 and 8,365.08 is: 11,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.68 : 16,426.14 = 8,365.08 : x
  2. Step 2: Convert to fraction form
    11,902.68/16,426.14 = 8,365.08/x
  3. Step 3: Cross multiply
    11,902.68x = 16,426.14 × 8,365.08
  4. Step 4: Simplify right side
    11,902.68x = 137,405,975.19
  5. Step 5: Solve for x
    x = 137,405,975.19/11,902.68
  6. Step 6: Final answer
    x = 11,544.12

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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.