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Finding the Fourth Proportional to 6,901.14, 10,355.19 and 3,199.20

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Solution

The fourth proportional to 6,901.14, 10,355.19 and 3,199.20 is: 4,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.14 : 10,355.19 = 3,199.20 : x
  2. Step 2: Convert to fraction form
    6,901.14/10,355.19 = 3,199.20/x
  3. Step 3: Cross multiply
    6,901.14x = 10,355.19 × 3,199.20
  4. Step 4: Simplify right side
    6,901.14x = 33,128,323.85
  5. Step 5: Solve for x
    x = 33,128,323.85/6,901.14
  6. Step 6: Final answer
    x = 4,800.41

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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.