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Finding the Fourth Proportional to 10,434.81, 15,647.07 and 5,163.72

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Solution

The fourth proportional to 10,434.81, 15,647.07 and 5,163.72 is: 7,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.81 : 15,647.07 = 5,163.72 : x
  2. Step 2: Convert to fraction form
    10,434.81/15,647.07 = 5,163.72/x
  3. Step 3: Cross multiply
    10,434.81x = 15,647.07 × 5,163.72
  4. Step 4: Simplify right side
    10,434.81x = 80,797,088.30
  5. Step 5: Solve for x
    x = 80,797,088.30/10,434.81
  6. Step 6: Final answer
    x = 7,743.03

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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.