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Finding the Fourth Proportional to 11,660.13, 17,490.06 and 6,981.44

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Solution

The fourth proportional to 11,660.13, 17,490.06 and 6,981.44 is: 10,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.13 : 17,490.06 = 6,981.44 : x
  2. Step 2: Convert to fraction form
    11,660.13/17,490.06 = 6,981.44/x
  3. Step 3: Cross multiply
    11,660.13x = 17,490.06 × 6,981.44
  4. Step 4: Simplify right side
    11,660.13x = 122,105,848.21
  5. Step 5: Solve for x
    x = 122,105,848.21/11,660.13
  6. Step 6: Final answer
    x = 10,472.08

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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.