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Finding the Fourth Proportional to 11,840.67, 16,338.33 and 7,867.62

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Solution

The fourth proportional to 11,840.67, 16,338.33 and 7,867.62 is: 10,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.67 : 16,338.33 = 7,867.62 : x
  2. Step 2: Convert to fraction form
    11,840.67/16,338.33 = 7,867.62/x
  3. Step 3: Cross multiply
    11,840.67x = 16,338.33 × 7,867.62
  4. Step 4: Simplify right side
    11,840.67x = 128,543,771.87
  5. Step 5: Solve for x
    x = 128,543,771.87/11,840.67
  6. Step 6: Final answer
    x = 10,856.12

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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.