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Finding the Fourth Proportional to 11,696.42, 17,542.74 and 4,299.06

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Solution

The fourth proportional to 11,696.42, 17,542.74 and 4,299.06 is: 6,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.42 : 17,542.74 = 4,299.06 : x
  2. Step 2: Convert to fraction form
    11,696.42/17,542.74 = 4,299.06/x
  3. Step 3: Cross multiply
    11,696.42x = 17,542.74 × 4,299.06
  4. Step 4: Simplify right side
    11,696.42x = 75,417,291.82
  5. Step 5: Solve for x
    x = 75,417,291.82/11,696.42
  6. Step 6: Final answer
    x = 6,447.90

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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.