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Finding the Fourth Proportional to 10,163.56, 15,234.54 and 4,317.16

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Solution

The fourth proportional to 10,163.56, 15,234.54 and 4,317.16 is: 6,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.56 : 15,234.54 = 4,317.16 : x
  2. Step 2: Convert to fraction form
    10,163.56/15,234.54 = 4,317.16/x
  3. Step 3: Cross multiply
    10,163.56x = 15,234.54 × 4,317.16
  4. Step 4: Simplify right side
    10,163.56x = 65,769,946.71
  5. Step 5: Solve for x
    x = 65,769,946.71/10,163.56
  6. Step 6: Final answer
    x = 6,471.15

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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.