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Finding the Fourth Proportional to 8,540.06, 12,803.90 and 5,759.78

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Solution

The fourth proportional to 8,540.06, 12,803.90 and 5,759.78 is: 8,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.06 : 12,803.90 = 5,759.78 : x
  2. Step 2: Convert to fraction form
    8,540.06/12,803.90 = 5,759.78/x
  3. Step 3: Cross multiply
    8,540.06x = 12,803.90 × 5,759.78
  4. Step 4: Simplify right side
    8,540.06x = 73,747,647.14
  5. Step 5: Solve for x
    x = 73,747,647.14/8,540.06
  6. Step 6: Final answer
    x = 8,635.50

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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.