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Finding the Fourth Proportional to 8,297.11, 12,448.10 and 2,453.87

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Solution

The fourth proportional to 8,297.11, 12,448.10 and 2,453.87 is: 3,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.11 : 12,448.10 = 2,453.87 : x
  2. Step 2: Convert to fraction form
    8,297.11/12,448.10 = 2,453.87/x
  3. Step 3: Cross multiply
    8,297.11x = 12,448.10 × 2,453.87
  4. Step 4: Simplify right side
    8,297.11x = 30,546,047.20
  5. Step 5: Solve for x
    x = 30,546,047.20/8,297.11
  6. Step 6: Final answer
    x = 3,681.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.