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Finding the Fourth Proportional to 6,861.36, 10,292.04 and 3,162.50

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Solution

The fourth proportional to 6,861.36, 10,292.04 and 3,162.50 is: 4,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.36 : 10,292.04 = 3,162.50 : x
  2. Step 2: Convert to fraction form
    6,861.36/10,292.04 = 3,162.50/x
  3. Step 3: Cross multiply
    6,861.36x = 10,292.04 × 3,162.50
  4. Step 4: Simplify right side
    6,861.36x = 32,548,576.50
  5. Step 5: Solve for x
    x = 32,548,576.50/6,861.36
  6. Step 6: Final answer
    x = 4,743.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.