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Finding the Fourth Proportional to 8,408.07, 12,592.67 and 8,116.47

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Solution

The fourth proportional to 8,408.07, 12,592.67 and 8,116.47 is: 12,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.07 : 12,592.67 = 8,116.47 : x
  2. Step 2: Convert to fraction form
    8,408.07/12,592.67 = 8,116.47/x
  3. Step 3: Cross multiply
    8,408.07x = 12,592.67 × 8,116.47
  4. Step 4: Simplify right side
    8,408.07x = 102,207,987.69
  5. Step 5: Solve for x
    x = 102,207,987.69/8,408.07
  6. Step 6: Final answer
    x = 12,155.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.