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Finding the Fourth Proportional to 8,356.24, 11,525.48 and 6,000.80

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Solution

The fourth proportional to 8,356.24, 11,525.48 and 6,000.80 is: 8,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.24 : 11,525.48 = 6,000.80 : x
  2. Step 2: Convert to fraction form
    8,356.24/11,525.48 = 6,000.80/x
  3. Step 3: Cross multiply
    8,356.24x = 11,525.48 × 6,000.80
  4. Step 4: Simplify right side
    8,356.24x = 69,162,100.38
  5. Step 5: Solve for x
    x = 69,162,100.38/8,356.24
  6. Step 6: Final answer
    x = 8,276.70

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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.