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Finding the Fourth Proportional to 11,617.93, 16,034.11 and 6,902.21

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Solution

The fourth proportional to 11,617.93, 16,034.11 and 6,902.21 is: 9,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.93 : 16,034.11 = 6,902.21 : x
  2. Step 2: Convert to fraction form
    11,617.93/16,034.11 = 6,902.21/x
  3. Step 3: Cross multiply
    11,617.93x = 16,034.11 × 6,902.21
  4. Step 4: Simplify right side
    11,617.93x = 110,670,817.21
  5. Step 5: Solve for x
    x = 110,670,817.21/11,617.93
  6. Step 6: Final answer
    x = 9,525.87

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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.