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Finding the Fourth Proportional to 11,847.08, 16,348.86 and 6,541.78

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Solution

The fourth proportional to 11,847.08, 16,348.86 and 6,541.78 is: 9,027.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.08 : 16,348.86 = 6,541.78 : x
  2. Step 2: Convert to fraction form
    11,847.08/16,348.86 = 6,541.78/x
  3. Step 3: Cross multiply
    11,847.08x = 16,348.86 × 6,541.78
  4. Step 4: Simplify right side
    11,847.08x = 106,950,530.92
  5. Step 5: Solve for x
    x = 106,950,530.92/11,847.08
  6. Step 6: Final answer
    x = 9,027.59

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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.