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Finding the Fourth Proportional to 8,348.57, 12,511.90 and 3,412.56

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Solution

The fourth proportional to 8,348.57, 12,511.90 and 3,412.56 is: 5,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.57 : 12,511.90 = 3,412.56 : x
  2. Step 2: Convert to fraction form
    8,348.57/12,511.90 = 3,412.56/x
  3. Step 3: Cross multiply
    8,348.57x = 12,511.90 × 3,412.56
  4. Step 4: Simplify right side
    8,348.57x = 42,697,660.65
  5. Step 5: Solve for x
    x = 42,697,660.65/8,348.57
  6. Step 6: Final answer
    x = 5,114.37

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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.