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Finding the Fourth Proportional to 6,749.92, 10,108.14 and 4,672

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Solution

The fourth proportional to 6,749.92, 10,108.14 and 4,672 is: 6,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.92 : 10,108.14 = 4,672 : x
  2. Step 2: Convert to fraction form
    6,749.92/10,108.14 = 4,672/x
  3. Step 3: Cross multiply
    6,749.92x = 10,108.14 × 4,672
  4. Step 4: Simplify right side
    6,749.92x = 47,225,230.08
  5. Step 5: Solve for x
    x = 47,225,230.08/6,749.92
  6. Step 6: Final answer
    x = 6,996.41

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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.