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Finding the Fourth Proportional to 10,434.80, 15,647.08 and 5,163.72

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Solution

The fourth proportional to 10,434.80, 15,647.08 and 5,163.72 is: 7,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.80 : 15,647.08 = 5,163.72 : x
  2. Step 2: Convert to fraction form
    10,434.80/15,647.08 = 5,163.72/x
  3. Step 3: Cross multiply
    10,434.80x = 15,647.08 × 5,163.72
  4. Step 4: Simplify right side
    10,434.80x = 80,797,139.94
  5. Step 5: Solve for x
    x = 80,797,139.94/10,434.80
  6. Step 6: Final answer
    x = 7,743.05

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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.