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Finding the Fourth Proportional to 8,395.90, 11,584.24 and 5,408.13

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Solution

The fourth proportional to 8,395.90, 11,584.24 and 5,408.13 is: 7,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.90 : 11,584.24 = 5,408.13 : x
  2. Step 2: Convert to fraction form
    8,395.90/11,584.24 = 5,408.13/x
  3. Step 3: Cross multiply
    8,395.90x = 11,584.24 × 5,408.13
  4. Step 4: Simplify right side
    8,395.90x = 62,649,062.35
  5. Step 5: Solve for x
    x = 62,649,062.35/8,395.90
  6. Step 6: Final answer
    x = 7,461.87

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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.