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Finding the Fourth Proportional to 8,412.68, 12,605.07 and 5,115.80

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Solution

The fourth proportional to 8,412.68, 12,605.07 and 5,115.80 is: 7,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.68 : 12,605.07 = 5,115.80 : x
  2. Step 2: Convert to fraction form
    8,412.68/12,605.07 = 5,115.80/x
  3. Step 3: Cross multiply
    8,412.68x = 12,605.07 × 5,115.80
  4. Step 4: Simplify right side
    8,412.68x = 64,485,067.80
  5. Step 5: Solve for x
    x = 64,485,067.80/8,412.68
  6. Step 6: Final answer
    x = 7,665.22

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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.