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Finding the Fourth Proportional to 11,991.12, 16,543.41 and 6,952.57

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Solution

The fourth proportional to 11,991.12, 16,543.41 and 6,952.57 is: 9,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.12 : 16,543.41 = 6,952.57 : x
  2. Step 2: Convert to fraction form
    11,991.12/16,543.41 = 6,952.57/x
  3. Step 3: Cross multiply
    11,991.12x = 16,543.41 × 6,952.57
  4. Step 4: Simplify right side
    11,991.12x = 115,019,098.58
  5. Step 5: Solve for x
    x = 115,019,098.58/11,991.12
  6. Step 6: Final answer
    x = 9,592.02

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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.