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Finding the Fourth Proportional to 8,412.25, 12,616.74 and 2,865.55

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Solution

The fourth proportional to 8,412.25, 12,616.74 and 2,865.55 is: 4,297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.25 : 12,616.74 = 2,865.55 : x
  2. Step 2: Convert to fraction form
    8,412.25/12,616.74 = 2,865.55/x
  3. Step 3: Cross multiply
    8,412.25x = 12,616.74 × 2,865.55
  4. Step 4: Simplify right side
    8,412.25x = 36,153,899.31
  5. Step 5: Solve for x
    x = 36,153,899.31/8,412.25
  6. Step 6: Final answer
    x = 4,297.77

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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.