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Finding the Fourth Proportional to 10,249.50, 15,372.84 and 4,005.18

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Solution

The fourth proportional to 10,249.50, 15,372.84 and 4,005.18 is: 6,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.50 : 15,372.84 = 4,005.18 : x
  2. Step 2: Convert to fraction form
    10,249.50/15,372.84 = 4,005.18/x
  3. Step 3: Cross multiply
    10,249.50x = 15,372.84 × 4,005.18
  4. Step 4: Simplify right side
    10,249.50x = 61,570,991.31
  5. Step 5: Solve for x
    x = 61,570,991.31/10,249.50
  6. Step 6: Final answer
    x = 6,007.22

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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.