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Finding the Fourth Proportional to 6,668.40, 9,211.17 and 5,115.66

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Solution

The fourth proportional to 6,668.40, 9,211.17 and 5,115.66 is: 7,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.40 : 9,211.17 = 5,115.66 : x
  2. Step 2: Convert to fraction form
    6,668.40/9,211.17 = 5,115.66/x
  3. Step 3: Cross multiply
    6,668.40x = 9,211.17 × 5,115.66
  4. Step 4: Simplify right side
    6,668.40x = 47,121,213.92
  5. Step 5: Solve for x
    x = 47,121,213.92/6,668.40
  6. Step 6: Final answer
    x = 7,066.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.