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Finding the Fourth Proportional to 8,589.71, 11,859.51 and 6,596.71

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Solution

The fourth proportional to 8,589.71, 11,859.51 and 6,596.71 is: 9,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.71 : 11,859.51 = 6,596.71 : x
  2. Step 2: Convert to fraction form
    8,589.71/11,859.51 = 6,596.71/x
  3. Step 3: Cross multiply
    8,589.71x = 11,859.51 × 6,596.71
  4. Step 4: Simplify right side
    8,589.71x = 78,233,743.30
  5. Step 5: Solve for x
    x = 78,233,743.30/8,589.71
  6. Step 6: Final answer
    x = 9,107.84

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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.