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Finding the Fourth Proportional to 8,668.37, 11,966.78 and 6,011.17

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Solution

The fourth proportional to 8,668.37, 11,966.78 and 6,011.17 is: 8,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.37 : 11,966.78 = 6,011.17 : x
  2. Step 2: Convert to fraction form
    8,668.37/11,966.78 = 6,011.17/x
  3. Step 3: Cross multiply
    8,668.37x = 11,966.78 × 6,011.17
  4. Step 4: Simplify right side
    8,668.37x = 71,934,348.93
  5. Step 5: Solve for x
    x = 71,934,348.93/8,668.37
  6. Step 6: Final answer
    x = 8,298.49

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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.