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Finding the Fourth Proportional to 11,866.57, 16,376.60 and 6,830.68

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Solution

The fourth proportional to 11,866.57, 16,376.60 and 6,830.68 is: 9,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.57 : 16,376.60 = 6,830.68 : x
  2. Step 2: Convert to fraction form
    11,866.57/16,376.60 = 6,830.68/x
  3. Step 3: Cross multiply
    11,866.57x = 16,376.60 × 6,830.68
  4. Step 4: Simplify right side
    11,866.57x = 111,863,314.09
  5. Step 5: Solve for x
    x = 111,863,314.09/11,866.57
  6. Step 6: Final answer
    x = 9,426.76

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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.