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Finding the Fourth Proportional to 8,324.89, 12,486.47 and 2,777.63

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Solution

The fourth proportional to 8,324.89, 12,486.47 and 2,777.63 is: 4,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.89 : 12,486.47 = 2,777.63 : x
  2. Step 2: Convert to fraction form
    8,324.89/12,486.47 = 2,777.63/x
  3. Step 3: Cross multiply
    8,324.89x = 12,486.47 × 2,777.63
  4. Step 4: Simplify right side
    8,324.89x = 34,682,717.35
  5. Step 5: Solve for x
    x = 34,682,717.35/8,324.89
  6. Step 6: Final answer
    x = 4,166.15

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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.