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Finding the Fourth Proportional to 11,706.58, 17,557.27 and 3,384.78

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Solution

The fourth proportional to 11,706.58, 17,557.27 and 3,384.78 is: 5,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.58 : 17,557.27 = 3,384.78 : x
  2. Step 2: Convert to fraction form
    11,706.58/17,557.27 = 3,384.78/x
  3. Step 3: Cross multiply
    11,706.58x = 17,557.27 × 3,384.78
  4. Step 4: Simplify right side
    11,706.58x = 59,427,496.35
  5. Step 5: Solve for x
    x = 59,427,496.35/11,706.58
  6. Step 6: Final answer
    x = 5,076.42

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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.