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Finding the Fourth Proportional to 11,796.74, 17,689 and 3,475.68

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Solution

The fourth proportional to 11,796.74, 17,689 and 3,475.68 is: 5,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.74 : 17,689 = 3,475.68 : x
  2. Step 2: Convert to fraction form
    11,796.74/17,689 = 3,475.68/x
  3. Step 3: Cross multiply
    11,796.74x = 17,689 × 3,475.68
  4. Step 4: Simplify right side
    11,796.74x = 61,481,303.52
  5. Step 5: Solve for x
    x = 61,481,303.52/11,796.74
  6. Step 6: Final answer
    x = 5,211.72

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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.