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Finding the Fourth Proportional to 11,474.94, 17,174.13 and 6,543.27

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Solution

The fourth proportional to 11,474.94, 17,174.13 and 6,543.27 is: 9,793.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.94 : 17,174.13 = 6,543.27 : x
  2. Step 2: Convert to fraction form
    11,474.94/17,174.13 = 6,543.27/x
  3. Step 3: Cross multiply
    11,474.94x = 17,174.13 × 6,543.27
  4. Step 4: Simplify right side
    11,474.94x = 112,374,969.61
  5. Step 5: Solve for x
    x = 112,374,969.61/11,474.94
  6. Step 6: Final answer
    x = 9,793.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.