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Finding the Fourth Proportional to 8,668.62, 11,967.12 and 6,011.42

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Solution

The fourth proportional to 8,668.62, 11,967.12 and 6,011.42 is: 8,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.62 : 11,967.12 = 6,011.42 : x
  2. Step 2: Convert to fraction form
    8,668.62/11,967.12 = 6,011.42/x
  3. Step 3: Cross multiply
    8,668.62x = 11,967.12 × 6,011.42
  4. Step 4: Simplify right side
    8,668.62x = 71,939,324.67
  5. Step 5: Solve for x
    x = 71,939,324.67/8,668.62
  6. Step 6: Final answer
    x = 8,298.82

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