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Finding the Fourth Proportional to 11,901.54, 17,859.87 and 6,981.06

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Solution

The fourth proportional to 11,901.54, 17,859.87 and 6,981.06 is: 10,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.54 : 17,859.87 = 6,981.06 : x
  2. Step 2: Convert to fraction form
    11,901.54/17,859.87 = 6,981.06/x
  3. Step 3: Cross multiply
    11,901.54x = 17,859.87 × 6,981.06
  4. Step 4: Simplify right side
    11,901.54x = 124,680,824.06
  5. Step 5: Solve for x
    x = 124,680,824.06/11,901.54
  6. Step 6: Final answer
    x = 10,476.02

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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.