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Finding the Fourth Proportional to 11,981.13, 17,958.07 and 7,290.80

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Solution

The fourth proportional to 11,981.13, 17,958.07 and 7,290.80 is: 10,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.13 : 17,958.07 = 7,290.80 : x
  2. Step 2: Convert to fraction form
    11,981.13/17,958.07 = 7,290.80/x
  3. Step 3: Cross multiply
    11,981.13x = 17,958.07 × 7,290.80
  4. Step 4: Simplify right side
    11,981.13x = 130,928,633.63
  5. Step 5: Solve for x
    x = 130,928,633.63/11,981.13
  6. Step 6: Final answer
    x = 10,927.90

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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.