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Finding the Fourth Proportional to 11,716.59, 16,168.73 and 6,411.33

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Solution

The fourth proportional to 11,716.59, 16,168.73 and 6,411.33 is: 8,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.59 : 16,168.73 = 6,411.33 : x
  2. Step 2: Convert to fraction form
    11,716.59/16,168.73 = 6,411.33/x
  3. Step 3: Cross multiply
    11,716.59x = 16,168.73 × 6,411.33
  4. Step 4: Simplify right side
    11,716.59x = 103,663,031.65
  5. Step 5: Solve for x
    x = 103,663,031.65/11,716.59
  6. Step 6: Final answer
    x = 8,847.54

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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.