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Finding the Fourth Proportional to 8,647.38, 11,930.31 and 5,664.87

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Solution

The fourth proportional to 8,647.38, 11,930.31 and 5,664.87 is: 7,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.38 : 11,930.31 = 5,664.87 : x
  2. Step 2: Convert to fraction form
    8,647.38/11,930.31 = 5,664.87/x
  3. Step 3: Cross multiply
    8,647.38x = 11,930.31 × 5,664.87
  4. Step 4: Simplify right side
    8,647.38x = 67,583,655.21
  5. Step 5: Solve for x
    x = 67,583,655.21/8,647.38
  6. Step 6: Final answer
    x = 7,815.51

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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.