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Finding the Fourth Proportional to 11,706.96, 17,557.81 and 3,385.12

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Solution

The fourth proportional to 11,706.96, 17,557.81 and 3,385.12 is: 5,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.96 : 17,557.81 = 3,385.12 : x
  2. Step 2: Convert to fraction form
    11,706.96/17,557.81 = 3,385.12/x
  3. Step 3: Cross multiply
    11,706.96x = 17,557.81 × 3,385.12
  4. Step 4: Simplify right side
    11,706.96x = 59,435,293.79
  5. Step 5: Solve for x
    x = 59,435,293.79/11,706.96
  6. Step 6: Final answer
    x = 5,076.92

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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.