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Finding the Fourth Proportional to 8,500.32, 11,730.42 and 4,723.47

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Solution

The fourth proportional to 8,500.32, 11,730.42 and 4,723.47 is: 6,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.32 : 11,730.42 = 4,723.47 : x
  2. Step 2: Convert to fraction form
    8,500.32/11,730.42 = 4,723.47/x
  3. Step 3: Cross multiply
    8,500.32x = 11,730.42 × 4,723.47
  4. Step 4: Simplify right side
    8,500.32x = 55,408,286.96
  5. Step 5: Solve for x
    x = 55,408,286.96/8,500.32
  6. Step 6: Final answer
    x = 6,518.38

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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.