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Finding the Fourth Proportional to 10,408.22, 15,614.63 and 4,858.53

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Solution

The fourth proportional to 10,408.22, 15,614.63 and 4,858.53 is: 7,288.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.22 : 15,614.63 = 4,858.53 : x
  2. Step 2: Convert to fraction form
    10,408.22/15,614.63 = 4,858.53/x
  3. Step 3: Cross multiply
    10,408.22x = 15,614.63 × 4,858.53
  4. Step 4: Simplify right side
    10,408.22x = 75,864,187.33
  5. Step 5: Solve for x
    x = 75,864,187.33/10,408.22
  6. Step 6: Final answer
    x = 7,288.87

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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.