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Finding the Fourth Proportional to 12,340.38, 18,513.30 and 5,762.97

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Solution

The fourth proportional to 12,340.38, 18,513.30 and 5,762.97 is: 8,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.38 : 18,513.30 = 5,762.97 : x
  2. Step 2: Convert to fraction form
    12,340.38/18,513.30 = 5,762.97/x
  3. Step 3: Cross multiply
    12,340.38x = 18,513.30 × 5,762.97
  4. Step 4: Simplify right side
    12,340.38x = 106,691,592.50
  5. Step 5: Solve for x
    x = 106,691,592.50/12,340.38
  6. Step 6: Final answer
    x = 8,645.73

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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.