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Finding the Fourth Proportional to 11,706.71, 17,561.81 and 4,310.60

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Solution

The fourth proportional to 11,706.71, 17,561.81 and 4,310.60 is: 6,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.71 : 17,561.81 = 4,310.60 : x
  2. Step 2: Convert to fraction form
    11,706.71/17,561.81 = 4,310.60/x
  3. Step 3: Cross multiply
    11,706.71x = 17,561.81 × 4,310.60
  4. Step 4: Simplify right side
    11,706.71x = 75,701,828.82
  5. Step 5: Solve for x
    x = 75,701,828.82/11,706.71
  6. Step 6: Final answer
    x = 6,466.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.