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Finding the Fourth Proportional to 10,245.64, 15,362.96 and 3,224.34

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Solution

The fourth proportional to 10,245.64, 15,362.96 and 3,224.34 is: 4,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.64 : 15,362.96 = 3,224.34 : x
  2. Step 2: Convert to fraction form
    10,245.64/15,362.96 = 3,224.34/x
  3. Step 3: Cross multiply
    10,245.64x = 15,362.96 × 3,224.34
  4. Step 4: Simplify right side
    10,245.64x = 49,535,406.45
  5. Step 5: Solve for x
    x = 49,535,406.45/10,245.64
  6. Step 6: Final answer
    x = 4,834.78

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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.