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Finding the Fourth Proportional to 10,035.65, 15,049.11 and 5,354.61

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Solution

The fourth proportional to 10,035.65, 15,049.11 and 5,354.61 is: 8,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.65 : 15,049.11 = 5,354.61 : x
  2. Step 2: Convert to fraction form
    10,035.65/15,049.11 = 5,354.61/x
  3. Step 3: Cross multiply
    10,035.65x = 15,049.11 × 5,354.61
  4. Step 4: Simplify right side
    10,035.65x = 80,582,163.19
  5. Step 5: Solve for x
    x = 80,582,163.19/10,035.65
  6. Step 6: Final answer
    x = 8,029.59

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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.