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Finding the Fourth Proportional to 6,706.66, 10,049.72 and 3,587.11

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Solution

The fourth proportional to 6,706.66, 10,049.72 and 3,587.11 is: 5,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.66 : 10,049.72 = 3,587.11 : x
  2. Step 2: Convert to fraction form
    6,706.66/10,049.72 = 3,587.11/x
  3. Step 3: Cross multiply
    6,706.66x = 10,049.72 × 3,587.11
  4. Step 4: Simplify right side
    6,706.66x = 36,049,451.11
  5. Step 5: Solve for x
    x = 36,049,451.11/6,706.66
  6. Step 6: Final answer
    x = 5,375.17

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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.