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Finding the Fourth Proportional to 8,412.96, 12,621.24 and 2,570

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Solution

The fourth proportional to 8,412.96, 12,621.24 and 2,570 is: 3,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.96 : 12,621.24 = 2,570 : x
  2. Step 2: Convert to fraction form
    8,412.96/12,621.24 = 2,570/x
  3. Step 3: Cross multiply
    8,412.96x = 12,621.24 × 2,570
  4. Step 4: Simplify right side
    8,412.96x = 32,436,586.80
  5. Step 5: Solve for x
    x = 32,436,586.80/8,412.96
  6. Step 6: Final answer
    x = 3,855.55

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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.