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Finding the Fourth Proportional to 6,864.87, 10,294.86 and 2,967.15

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Solution

The fourth proportional to 6,864.87, 10,294.86 and 2,967.15 is: 4,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.87 : 10,294.86 = 2,967.15 : x
  2. Step 2: Convert to fraction form
    6,864.87/10,294.86 = 2,967.15/x
  3. Step 3: Cross multiply
    6,864.87x = 10,294.86 × 2,967.15
  4. Step 4: Simplify right side
    6,864.87x = 30,546,366.37
  5. Step 5: Solve for x
    x = 30,546,366.37/6,864.87
  6. Step 6: Final answer
    x = 4,449.67

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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.