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Finding the Fourth Proportional to 11,706.62, 17,557.28 and 3,384.77

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Solution

The fourth proportional to 11,706.62, 17,557.28 and 3,384.77 is: 5,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.62 : 17,557.28 = 3,384.77 : x
  2. Step 2: Convert to fraction form
    11,706.62/17,557.28 = 3,384.77/x
  3. Step 3: Cross multiply
    11,706.62x = 17,557.28 × 3,384.77
  4. Step 4: Simplify right side
    11,706.62x = 59,427,249.92
  5. Step 5: Solve for x
    x = 59,427,249.92/11,706.62
  6. Step 6: Final answer
    x = 5,076.38

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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.