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Finding the Fourth Proportional to 8,144.35, 12,216.62 and 2,598.09

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Solution

The fourth proportional to 8,144.35, 12,216.62 and 2,598.09 is: 3,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.35 : 12,216.62 = 2,598.09 : x
  2. Step 2: Convert to fraction form
    8,144.35/12,216.62 = 2,598.09/x
  3. Step 3: Cross multiply
    8,144.35x = 12,216.62 × 2,598.09
  4. Step 4: Simplify right side
    8,144.35x = 31,739,839.68
  5. Step 5: Solve for x
    x = 31,739,839.68/8,144.35
  6. Step 6: Final answer
    x = 3,897.16

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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.