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Finding the Fourth Proportional to 8,207.91, 12,308.94 and 5,083.11

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Solution

The fourth proportional to 8,207.91, 12,308.94 and 5,083.11 is: 7,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.91 : 12,308.94 = 5,083.11 : x
  2. Step 2: Convert to fraction form
    8,207.91/12,308.94 = 5,083.11/x
  3. Step 3: Cross multiply
    8,207.91x = 12,308.94 × 5,083.11
  4. Step 4: Simplify right side
    8,207.91x = 62,567,696.00
  5. Step 5: Solve for x
    x = 62,567,696.00/8,207.91
  6. Step 6: Final answer
    x = 7,622.85

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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.