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Finding the Fourth Proportional to 10,408.60, 15,610.38 and 3,835.54

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Solution

The fourth proportional to 10,408.60, 15,610.38 and 3,835.54 is: 5,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.60 : 15,610.38 = 3,835.54 : x
  2. Step 2: Convert to fraction form
    10,408.60/15,610.38 = 3,835.54/x
  3. Step 3: Cross multiply
    10,408.60x = 15,610.38 × 3,835.54
  4. Step 4: Simplify right side
    10,408.60x = 59,874,236.91
  5. Step 5: Solve for x
    x = 59,874,236.91/10,408.60
  6. Step 6: Final answer
    x = 5,752.38

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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.