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Finding the Fourth Proportional to 10,149.69, 15,224.34 and 3,911.05

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Solution

The fourth proportional to 10,149.69, 15,224.34 and 3,911.05 is: 5,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.69 : 15,224.34 = 3,911.05 : x
  2. Step 2: Convert to fraction form
    10,149.69/15,224.34 = 3,911.05/x
  3. Step 3: Cross multiply
    10,149.69x = 15,224.34 × 3,911.05
  4. Step 4: Simplify right side
    10,149.69x = 59,543,154.96
  5. Step 5: Solve for x
    x = 59,543,154.96/10,149.69
  6. Step 6: Final answer
    x = 5,866.50

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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.