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Finding the Fourth Proportional to 10,408.50, 15,611.60 and 2,617.31

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Solution

The fourth proportional to 10,408.50, 15,611.60 and 2,617.31 is: 3,925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.50 : 15,611.60 = 2,617.31 : x
  2. Step 2: Convert to fraction form
    10,408.50/15,611.60 = 2,617.31/x
  3. Step 3: Cross multiply
    10,408.50x = 15,611.60 × 2,617.31
  4. Step 4: Simplify right side
    10,408.50x = 40,860,442.37
  5. Step 5: Solve for x
    x = 40,860,442.37/10,408.50
  6. Step 6: Final answer
    x = 3,925.68

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Why These Related Problems?

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