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Finding the Fourth Proportional to 10,243.50, 15,363.87 and 3,999.15

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Solution

The fourth proportional to 10,243.50, 15,363.87 and 3,999.15 is: 5,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.50 : 15,363.87 = 3,999.15 : x
  2. Step 2: Convert to fraction form
    10,243.50/15,363.87 = 3,999.15/x
  3. Step 3: Cross multiply
    10,243.50x = 15,363.87 × 3,999.15
  4. Step 4: Simplify right side
    10,243.50x = 61,442,420.71
  5. Step 5: Solve for x
    x = 61,442,420.71/10,243.50
  6. Step 6: Final answer
    x = 5,998.19

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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.