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Finding the Fourth Proportional to 11,491.99, 17,222.61 and 6,144.19

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Solution

The fourth proportional to 11,491.99, 17,222.61 and 6,144.19 is: 9,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.99 : 17,222.61 = 6,144.19 : x
  2. Step 2: Convert to fraction form
    11,491.99/17,222.61 = 6,144.19/x
  3. Step 3: Cross multiply
    11,491.99x = 17,222.61 × 6,144.19
  4. Step 4: Simplify right side
    11,491.99x = 105,818,988.14
  5. Step 5: Solve for x
    x = 105,818,988.14/11,491.99
  6. Step 6: Final answer
    x = 9,208.06

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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.