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Finding the Fourth Proportional to 11,971.73, 16,522.31 and 6,935.90

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Solution

The fourth proportional to 11,971.73, 16,522.31 and 6,935.90 is: 9,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.73 : 16,522.31 = 6,935.90 : x
  2. Step 2: Convert to fraction form
    11,971.73/16,522.31 = 6,935.90/x
  3. Step 3: Cross multiply
    11,971.73x = 16,522.31 × 6,935.90
  4. Step 4: Simplify right side
    11,971.73x = 114,597,024.66
  5. Step 5: Solve for x
    x = 114,597,024.66/11,971.73
  6. Step 6: Final answer
    x = 9,572.30

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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.