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Finding the Fourth Proportional to 10,400.10, 15,600.15 and 4,163.10

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Solution

The fourth proportional to 10,400.10, 15,600.15 and 4,163.10 is: 6,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.10 : 15,600.15 = 4,163.10 : x
  2. Step 2: Convert to fraction form
    10,400.10/15,600.15 = 4,163.10/x
  3. Step 3: Cross multiply
    10,400.10x = 15,600.15 × 4,163.10
  4. Step 4: Simplify right side
    10,400.10x = 64,944,984.47
  5. Step 5: Solve for x
    x = 64,944,984.47/10,400.10
  6. Step 6: Final answer
    x = 6,244.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.