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Finding the Fourth Proportional to 11,866.05, 16,376.93 and 6,829.92

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Solution

The fourth proportional to 11,866.05, 16,376.93 and 6,829.92 is: 9,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.05 : 16,376.93 = 6,829.92 : x
  2. Step 2: Convert to fraction form
    11,866.05/16,376.93 = 6,829.92/x
  3. Step 3: Cross multiply
    11,866.05x = 16,376.93 × 6,829.92
  4. Step 4: Simplify right side
    11,866.05x = 111,853,121.75
  5. Step 5: Solve for x
    x = 111,853,121.75/11,866.05
  6. Step 6: Final answer
    x = 9,426.31

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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.