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Finding the Fourth Proportional to 11,840.92, 16,341 and 6,806.76

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Solution

The fourth proportional to 11,840.92, 16,341 and 6,806.76 is: 9,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.92 : 16,341 = 6,806.76 : x
  2. Step 2: Convert to fraction form
    11,840.92/16,341 = 6,806.76/x
  3. Step 3: Cross multiply
    11,840.92x = 16,341 × 6,806.76
  4. Step 4: Simplify right side
    11,840.92x = 111,229,265.16
  5. Step 5: Solve for x
    x = 111,229,265.16/11,840.92
  6. Step 6: Final answer
    x = 9,393.63

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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.