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Finding the Fourth Proportional to 11,866.04, 16,377.64 and 9,874.66

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Solution

The fourth proportional to 11,866.04, 16,377.64 and 9,874.66 is: 13,629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.04 : 16,377.64 = 9,874.66 : x
  2. Step 2: Convert to fraction form
    11,866.04/16,377.64 = 9,874.66/x
  3. Step 3: Cross multiply
    11,866.04x = 16,377.64 × 9,874.66
  4. Step 4: Simplify right side
    11,866.04x = 161,723,626.60
  5. Step 5: Solve for x
    x = 161,723,626.60/11,866.04
  6. Step 6: Final answer
    x = 13,629.12

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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.