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Finding the Fourth Proportional to 8,297.42, 12,448.56 and 2,454.19

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Solution

The fourth proportional to 8,297.42, 12,448.56 and 2,454.19 is: 3,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.42 : 12,448.56 = 2,454.19 : x
  2. Step 2: Convert to fraction form
    8,297.42/12,448.56 = 2,454.19/x
  3. Step 3: Cross multiply
    8,297.42x = 12,448.56 × 2,454.19
  4. Step 4: Simplify right side
    8,297.42x = 30,551,069.22
  5. Step 5: Solve for x
    x = 30,551,069.22/8,297.42
  6. Step 6: Final answer
    x = 3,682.00

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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.