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Finding the Fourth Proportional to 11,576.64, 17,364.96 and 3,679.68

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Solution

The fourth proportional to 11,576.64, 17,364.96 and 3,679.68 is: 5,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.64 : 17,364.96 = 3,679.68 : x
  2. Step 2: Convert to fraction form
    11,576.64/17,364.96 = 3,679.68/x
  3. Step 3: Cross multiply
    11,576.64x = 17,364.96 × 3,679.68
  4. Step 4: Simplify right side
    11,576.64x = 63,897,496.01
  5. Step 5: Solve for x
    x = 63,897,496.01/11,576.64
  6. Step 6: Final answer
    x = 5,519.52

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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.