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Finding the Fourth Proportional to 6,861.30, 10,284.54 and 3,343.54

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Solution

The fourth proportional to 6,861.30, 10,284.54 and 3,343.54 is: 5,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.30 : 10,284.54 = 3,343.54 : x
  2. Step 2: Convert to fraction form
    6,861.30/10,284.54 = 3,343.54/x
  3. Step 3: Cross multiply
    6,861.30x = 10,284.54 × 3,343.54
  4. Step 4: Simplify right side
    6,861.30x = 34,386,770.87
  5. Step 5: Solve for x
    x = 34,386,770.87/6,861.30
  6. Step 6: Final answer
    x = 5,011.70

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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.