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Finding the Fourth Proportional to 15,086.10, 22,620.06 and 6,764.61

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Solution

The fourth proportional to 15,086.10, 22,620.06 and 6,764.61 is: 10,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.10 : 22,620.06 = 6,764.61 : x
  2. Step 2: Convert to fraction form
    15,086.10/22,620.06 = 6,764.61/x
  3. Step 3: Cross multiply
    15,086.10x = 22,620.06 × 6,764.61
  4. Step 4: Simplify right side
    15,086.10x = 153,015,884.08
  5. Step 5: Solve for x
    x = 153,015,884.08/15,086.10
  6. Step 6: Final answer
    x = 10,142.84

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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.