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Finding the Fourth Proportional to 11,660.50, 17,490.62 and 6,981.82

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Solution

The fourth proportional to 11,660.50, 17,490.62 and 6,981.82 is: 10,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.50 : 17,490.62 = 6,981.82 : x
  2. Step 2: Convert to fraction form
    11,660.50/17,490.62 = 6,981.82/x
  3. Step 3: Cross multiply
    11,660.50x = 17,490.62 × 6,981.82
  4. Step 4: Simplify right side
    11,660.50x = 122,116,334.26
  5. Step 5: Solve for x
    x = 122,116,334.26/11,660.50
  6. Step 6: Final answer
    x = 10,472.65

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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.