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Finding the Fourth Proportional to 11,846.13, 16,346.86 and 6,540.90

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Solution

The fourth proportional to 11,846.13, 16,346.86 and 6,540.90 is: 9,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.13 : 16,346.86 = 6,540.90 : x
  2. Step 2: Convert to fraction form
    11,846.13/16,346.86 = 6,540.90/x
  3. Step 3: Cross multiply
    11,846.13x = 16,346.86 × 6,540.90
  4. Step 4: Simplify right side
    11,846.13x = 106,923,176.57
  5. Step 5: Solve for x
    x = 106,923,176.57/11,846.13
  6. Step 6: Final answer
    x = 9,026.00

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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.