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Finding the Fourth Proportional to 10,691.33, 16,025.65 and 4,114.67

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Solution

The fourth proportional to 10,691.33, 16,025.65 and 4,114.67 is: 6,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.33 : 16,025.65 = 4,114.67 : x
  2. Step 2: Convert to fraction form
    10,691.33/16,025.65 = 4,114.67/x
  3. Step 3: Cross multiply
    10,691.33x = 16,025.65 × 4,114.67
  4. Step 4: Simplify right side
    10,691.33x = 65,940,170.87
  5. Step 5: Solve for x
    x = 65,940,170.87/10,691.33
  6. Step 6: Final answer
    x = 6,167.63

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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.