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Finding the Fourth Proportional to 11,716.86, 16,169.66 and 6,411.68

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Solution

The fourth proportional to 11,716.86, 16,169.66 and 6,411.68 is: 8,848.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.86 : 16,169.66 = 6,411.68 : x
  2. Step 2: Convert to fraction form
    11,716.86/16,169.66 = 6,411.68/x
  3. Step 3: Cross multiply
    11,716.86x = 16,169.66 × 6,411.68
  4. Step 4: Simplify right side
    11,716.86x = 103,674,572.72
  5. Step 5: Solve for x
    x = 103,674,572.72/11,716.86
  6. Step 6: Final answer
    x = 8,848.32

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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.