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Finding the Fourth Proportional to 8,172.86, 12,261.33 and 2,329.44

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Solution

The fourth proportional to 8,172.86, 12,261.33 and 2,329.44 is: 3,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.86 : 12,261.33 = 2,329.44 : x
  2. Step 2: Convert to fraction form
    8,172.86/12,261.33 = 2,329.44/x
  3. Step 3: Cross multiply
    8,172.86x = 12,261.33 × 2,329.44
  4. Step 4: Simplify right side
    8,172.86x = 28,562,032.56
  5. Step 5: Solve for x
    x = 28,562,032.56/8,172.86
  6. Step 6: Final answer
    x = 3,494.74

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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.