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Finding the Fourth Proportional to 10,224.12, 15,324.12 and 5,844.60

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Solution

The fourth proportional to 10,224.12, 15,324.12 and 5,844.60 is: 8,760.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.12 : 15,324.12 = 5,844.60 : x
  2. Step 2: Convert to fraction form
    10,224.12/15,324.12 = 5,844.60/x
  3. Step 3: Cross multiply
    10,224.12x = 15,324.12 × 5,844.60
  4. Step 4: Simplify right side
    10,224.12x = 89,563,351.75
  5. Step 5: Solve for x
    x = 89,563,351.75/10,224.12
  6. Step 6: Final answer
    x = 8,760.01

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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.