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Finding the Fourth Proportional to 8,262.14, 12,393.63 and 2,418.80

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Solution

The fourth proportional to 8,262.14, 12,393.63 and 2,418.80 is: 3,628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.14 : 12,393.63 = 2,418.80 : x
  2. Step 2: Convert to fraction form
    8,262.14/12,393.63 = 2,418.80/x
  3. Step 3: Cross multiply
    8,262.14x = 12,393.63 × 2,418.80
  4. Step 4: Simplify right side
    8,262.14x = 29,977,650.28
  5. Step 5: Solve for x
    x = 29,977,650.28/8,262.14
  6. Step 6: Final answer
    x = 3,628.32

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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.