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Finding the Fourth Proportional to 11,709, 16,158.42 and 8,727.39

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Solution

The fourth proportional to 11,709, 16,158.42 and 8,727.39 is: 12,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709 : 16,158.42 = 8,727.39 : x
  2. Step 2: Convert to fraction form
    11,709/16,158.42 = 8,727.39/x
  3. Step 3: Cross multiply
    11,709x = 16,158.42 × 8,727.39
  4. Step 4: Simplify right side
    11,709x = 141,020,833.12
  5. Step 5: Solve for x
    x = 141,020,833.12/11,709
  6. Step 6: Final answer
    x = 12,043.80

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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.