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Finding the Fourth Proportional to 6,884.42, 10,313.67 and 3,424.10

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Solution

The fourth proportional to 6,884.42, 10,313.67 and 3,424.10 is: 5,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.42 : 10,313.67 = 3,424.10 : x
  2. Step 2: Convert to fraction form
    6,884.42/10,313.67 = 3,424.10/x
  3. Step 3: Cross multiply
    6,884.42x = 10,313.67 × 3,424.10
  4. Step 4: Simplify right side
    6,884.42x = 35,315,037.45
  5. Step 5: Solve for x
    x = 35,315,037.45/6,884.42
  6. Step 6: Final answer
    x = 5,129.70

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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.