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Finding the Fourth Proportional to 8,996.24, 12,415.12 and 5,219.12

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Solution

The fourth proportional to 8,996.24, 12,415.12 and 5,219.12 is: 7,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.24 : 12,415.12 = 5,219.12 : x
  2. Step 2: Convert to fraction form
    8,996.24/12,415.12 = 5,219.12/x
  3. Step 3: Cross multiply
    8,996.24x = 12,415.12 × 5,219.12
  4. Step 4: Simplify right side
    8,996.24x = 64,796,001.09
  5. Step 5: Solve for x
    x = 64,796,001.09/8,996.24
  6. Step 6: Final answer
    x = 7,202.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.