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Finding the Fourth Proportional to 6,958.59, 10,423.90 and 3,205.15

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Solution

The fourth proportional to 6,958.59, 10,423.90 and 3,205.15 is: 4,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.59 : 10,423.90 = 3,205.15 : x
  2. Step 2: Convert to fraction form
    6,958.59/10,423.90 = 3,205.15/x
  3. Step 3: Cross multiply
    6,958.59x = 10,423.90 × 3,205.15
  4. Step 4: Simplify right side
    6,958.59x = 33,410,182.19
  5. Step 5: Solve for x
    x = 33,410,182.19/6,958.59
  6. Step 6: Final answer
    x = 4,801.29

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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.