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Finding the Fourth Proportional to 11,706.66, 17,561.74 and 4,310.55

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Solution

The fourth proportional to 11,706.66, 17,561.74 and 4,310.55 is: 6,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.66 : 17,561.74 = 4,310.55 : x
  2. Step 2: Convert to fraction form
    11,706.66/17,561.74 = 4,310.55/x
  3. Step 3: Cross multiply
    11,706.66x = 17,561.74 × 4,310.55
  4. Step 4: Simplify right side
    11,706.66x = 75,700,747.58
  5. Step 5: Solve for x
    x = 75,700,747.58/11,706.66
  6. Step 6: Final answer
    x = 6,466.47

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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.