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Finding the Fourth Proportional to 8,296.10, 12,444.14 and 2,452.25

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Solution

The fourth proportional to 8,296.10, 12,444.14 and 2,452.25 is: 3,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.10 : 12,444.14 = 2,452.25 : x
  2. Step 2: Convert to fraction form
    8,296.10/12,444.14 = 2,452.25/x
  3. Step 3: Cross multiply
    8,296.10x = 12,444.14 × 2,452.25
  4. Step 4: Simplify right side
    8,296.10x = 30,516,179.56
  5. Step 5: Solve for x
    x = 30,516,179.56/8,296.10
  6. Step 6: Final answer
    x = 3,678.38

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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.