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Finding the Fourth Proportional to 8,500.64, 11,730.78 and 4,723.82

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Solution

The fourth proportional to 8,500.64, 11,730.78 and 4,723.82 is: 6,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.64 : 11,730.78 = 4,723.82 : x
  2. Step 2: Convert to fraction form
    8,500.64/11,730.78 = 4,723.82/x
  3. Step 3: Cross multiply
    8,500.64x = 11,730.78 × 4,723.82
  4. Step 4: Simplify right side
    8,500.64x = 55,414,093.18
  5. Step 5: Solve for x
    x = 55,414,093.18/8,500.64
  6. Step 6: Final answer
    x = 6,518.81

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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.