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Finding the Fourth Proportional to 8,668.40, 11,959.17 and 5,685.89

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Solution

The fourth proportional to 8,668.40, 11,959.17 and 5,685.89 is: 7,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.40 : 11,959.17 = 5,685.89 : x
  2. Step 2: Convert to fraction form
    8,668.40/11,959.17 = 5,685.89/x
  3. Step 3: Cross multiply
    8,668.40x = 11,959.17 × 5,685.89
  4. Step 4: Simplify right side
    8,668.40x = 67,998,525.11
  5. Step 5: Solve for x
    x = 67,998,525.11/8,668.40
  6. Step 6: Final answer
    x = 7,844.41

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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.