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Finding the Fourth Proportional to 8,504.45, 12,747.86 and 6,158.59

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Solution

The fourth proportional to 8,504.45, 12,747.86 and 6,158.59 is: 9,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.45 : 12,747.86 = 6,158.59 : x
  2. Step 2: Convert to fraction form
    8,504.45/12,747.86 = 6,158.59/x
  3. Step 3: Cross multiply
    8,504.45x = 12,747.86 × 6,158.59
  4. Step 4: Simplify right side
    8,504.45x = 78,508,843.12
  5. Step 5: Solve for x
    x = 78,508,843.12/8,504.45
  6. Step 6: Final answer
    x = 9,231.50

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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.