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Finding the Fourth Proportional to 11,711.81, 17,552.12 and 4,309.42

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Solution

The fourth proportional to 11,711.81, 17,552.12 and 4,309.42 is: 6,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.81 : 17,552.12 = 4,309.42 : x
  2. Step 2: Convert to fraction form
    11,711.81/17,552.12 = 4,309.42/x
  3. Step 3: Cross multiply
    11,711.81x = 17,552.12 × 4,309.42
  4. Step 4: Simplify right side
    11,711.81x = 75,639,435.42
  5. Step 5: Solve for x
    x = 75,639,435.42/11,711.81
  6. Step 6: Final answer
    x = 6,458.39

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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.