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Finding the Fourth Proportional to 8,668.71, 11,967.95 and 5,689.76

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Solution

The fourth proportional to 8,668.71, 11,967.95 and 5,689.76 is: 7,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.71 : 11,967.95 = 5,689.76 : x
  2. Step 2: Convert to fraction form
    8,668.71/11,967.95 = 5,689.76/x
  3. Step 3: Cross multiply
    8,668.71x = 11,967.95 × 5,689.76
  4. Step 4: Simplify right side
    8,668.71x = 68,094,717.58
  5. Step 5: Solve for x
    x = 68,094,717.58/8,668.71
  6. Step 6: Final answer
    x = 7,855.23

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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.