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Finding the Fourth Proportional to 10,682.86, 14,742.39 and 6,209.23

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Solution

The fourth proportional to 10,682.86, 14,742.39 and 6,209.23 is: 8,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.86 : 14,742.39 = 6,209.23 : x
  2. Step 2: Convert to fraction form
    10,682.86/14,742.39 = 6,209.23/x
  3. Step 3: Cross multiply
    10,682.86x = 14,742.39 × 6,209.23
  4. Step 4: Simplify right side
    10,682.86x = 91,538,890.26
  5. Step 5: Solve for x
    x = 91,538,890.26/10,682.86
  6. Step 6: Final answer
    x = 8,568.76

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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.