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Finding the Fourth Proportional to 11,719.86, 16,173 and 6,685.71

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Solution

The fourth proportional to 11,719.86, 16,173 and 6,685.71 is: 9,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.86 : 16,173 = 6,685.71 : x
  2. Step 2: Convert to fraction form
    11,719.86/16,173 = 6,685.71/x
  3. Step 3: Cross multiply
    11,719.86x = 16,173 × 6,685.71
  4. Step 4: Simplify right side
    11,719.86x = 108,127,987.83
  5. Step 5: Solve for x
    x = 108,127,987.83/11,719.86
  6. Step 6: Final answer
    x = 9,226.05

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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.