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Finding the Fourth Proportional to 11,716.59, 16,169.30 and 6,411.41

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Solution

The fourth proportional to 11,716.59, 16,169.30 and 6,411.41 is: 8,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.59 : 16,169.30 = 6,411.41 : x
  2. Step 2: Convert to fraction form
    11,716.59/16,169.30 = 6,411.41/x
  3. Step 3: Cross multiply
    11,716.59x = 16,169.30 × 6,411.41
  4. Step 4: Simplify right side
    11,716.59x = 103,667,898.81
  5. Step 5: Solve for x
    x = 103,667,898.81/11,716.59
  6. Step 6: Final answer
    x = 8,847.96

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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.