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Finding the Fourth Proportional to 8,489.77, 12,730.82 and 4,540.37

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Solution

The fourth proportional to 8,489.77, 12,730.82 and 4,540.37 is: 6,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.77 : 12,730.82 = 4,540.37 : x
  2. Step 2: Convert to fraction form
    8,489.77/12,730.82 = 4,540.37/x
  3. Step 3: Cross multiply
    8,489.77x = 12,730.82 × 4,540.37
  4. Step 4: Simplify right side
    8,489.77x = 57,802,546.85
  5. Step 5: Solve for x
    x = 57,802,546.85/8,489.77
  6. Step 6: Final answer
    x = 6,808.50

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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.