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Finding the Fourth Proportional to 11,902.22, 16,424.43 and 6,866.14

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Solution

The fourth proportional to 11,902.22, 16,424.43 and 6,866.14 is: 9,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.22 : 16,424.43 = 6,866.14 : x
  2. Step 2: Convert to fraction form
    11,902.22/16,424.43 = 6,866.14/x
  3. Step 3: Cross multiply
    11,902.22x = 16,424.43 × 6,866.14
  4. Step 4: Simplify right side
    11,902.22x = 112,772,401.47
  5. Step 5: Solve for x
    x = 112,772,401.47/11,902.22
  6. Step 6: Final answer
    x = 9,474.91

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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.