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Finding the Fourth Proportional to 8,500.06, 11,728.38 and 4,962.34

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Solution

The fourth proportional to 8,500.06, 11,728.38 and 4,962.34 is: 6,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.06 : 11,728.38 = 4,962.34 : x
  2. Step 2: Convert to fraction form
    8,500.06/11,728.38 = 4,962.34/x
  3. Step 3: Cross multiply
    8,500.06x = 11,728.38 × 4,962.34
  4. Step 4: Simplify right side
    8,500.06x = 58,200,209.21
  5. Step 5: Solve for x
    x = 58,200,209.21/8,500.06
  6. Step 6: Final answer
    x = 6,847.04

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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.