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Finding the Fourth Proportional to 11,847.18, 16,349 and 6,542.05

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Solution

The fourth proportional to 11,847.18, 16,349 and 6,542.05 is: 9,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.18 : 16,349 = 6,542.05 : x
  2. Step 2: Convert to fraction form
    11,847.18/16,349 = 6,542.05/x
  3. Step 3: Cross multiply
    11,847.18x = 16,349 × 6,542.05
  4. Step 4: Simplify right side
    11,847.18x = 106,955,975.45
  5. Step 5: Solve for x
    x = 106,955,975.45/11,847.18
  6. Step 6: Final answer
    x = 9,027.97

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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.