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Finding the Fourth Proportional to 11,866.76, 16,376.82 and 6,830.85

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Solution

The fourth proportional to 11,866.76, 16,376.82 and 6,830.85 is: 9,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.76 : 16,376.82 = 6,830.85 : x
  2. Step 2: Convert to fraction form
    11,866.76/16,376.82 = 6,830.85/x
  3. Step 3: Cross multiply
    11,866.76x = 16,376.82 × 6,830.85
  4. Step 4: Simplify right side
    11,866.76x = 111,867,600.90
  5. Step 5: Solve for x
    x = 111,867,600.90/11,866.76
  6. Step 6: Final answer
    x = 9,426.97

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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.