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Finding the Fourth Proportional to 10,108.96, 15,163.52 and 3,184

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Solution

The fourth proportional to 10,108.96, 15,163.52 and 3,184 is: 4,776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.96 : 15,163.52 = 3,184 : x
  2. Step 2: Convert to fraction form
    10,108.96/15,163.52 = 3,184/x
  3. Step 3: Cross multiply
    10,108.96x = 15,163.52 × 3,184
  4. Step 4: Simplify right side
    10,108.96x = 48,280,647.68
  5. Step 5: Solve for x
    x = 48,280,647.68/10,108.96
  6. Step 6: Final answer
    x = 4,776.03

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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.