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Finding the Fourth Proportional to 11,790.49, 17,662.56 and 6,849.76

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Solution

The fourth proportional to 11,790.49, 17,662.56 and 6,849.76 is: 10,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.49 : 17,662.56 = 6,849.76 : x
  2. Step 2: Convert to fraction form
    11,790.49/17,662.56 = 6,849.76/x
  3. Step 3: Cross multiply
    11,790.49x = 17,662.56 × 6,849.76
  4. Step 4: Simplify right side
    11,790.49x = 120,984,296.99
  5. Step 5: Solve for x
    x = 120,984,296.99/11,790.49
  6. Step 6: Final answer
    x = 10,261.18

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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.