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Finding the Fourth Proportional to 6,311.48, 8,706.92 and 4,074.08

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Solution

The fourth proportional to 6,311.48, 8,706.92 and 4,074.08 is: 5,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.48 : 8,706.92 = 4,074.08 : x
  2. Step 2: Convert to fraction form
    6,311.48/8,706.92 = 4,074.08/x
  3. Step 3: Cross multiply
    6,311.48x = 8,706.92 × 4,074.08
  4. Step 4: Simplify right side
    6,311.48x = 35,472,624.73
  5. Step 5: Solve for x
    x = 35,472,624.73/6,311.48
  6. Step 6: Final answer
    x = 5,620.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.