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Finding the Fourth Proportional to 8,321.38, 11,483.50 and 4,785.73

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Solution

The fourth proportional to 8,321.38, 11,483.50 and 4,785.73 is: 6,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.38 : 11,483.50 = 4,785.73 : x
  2. Step 2: Convert to fraction form
    8,321.38/11,483.50 = 4,785.73/x
  3. Step 3: Cross multiply
    8,321.38x = 11,483.50 × 4,785.73
  4. Step 4: Simplify right side
    8,321.38x = 54,956,930.46
  5. Step 5: Solve for x
    x = 54,956,930.46/8,321.38
  6. Step 6: Final answer
    x = 6,604.30

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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.