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Finding the Fourth Proportional to 10,520.38, 14,517.72 and 5,804.62

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Solution

The fourth proportional to 10,520.38, 14,517.72 and 5,804.62 is: 8,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.38 : 14,517.72 = 5,804.62 : x
  2. Step 2: Convert to fraction form
    10,520.38/14,517.72 = 5,804.62/x
  3. Step 3: Cross multiply
    10,520.38x = 14,517.72 × 5,804.62
  4. Step 4: Simplify right side
    10,520.38x = 84,269,847.87
  5. Step 5: Solve for x
    x = 84,269,847.87/10,520.38
  6. Step 6: Final answer
    x = 8,010.15

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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.