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Finding the Fourth Proportional to 8,408.68, 11,593.12 and 6,890.59

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Solution

The fourth proportional to 8,408.68, 11,593.12 and 6,890.59 is: 9,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.68 : 11,593.12 = 6,890.59 : x
  2. Step 2: Convert to fraction form
    8,408.68/11,593.12 = 6,890.59/x
  3. Step 3: Cross multiply
    8,408.68x = 11,593.12 × 6,890.59
  4. Step 4: Simplify right side
    8,408.68x = 79,883,436.74
  5. Step 5: Solve for x
    x = 79,883,436.74/8,408.68
  6. Step 6: Final answer
    x = 9,500.12

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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.