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Finding the Fourth Proportional to 8,121.07, 12,157.84 and 7,342.86

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Solution

The fourth proportional to 8,121.07, 12,157.84 and 7,342.86 is: 10,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.07 : 12,157.84 = 7,342.86 : x
  2. Step 2: Convert to fraction form
    8,121.07/12,157.84 = 7,342.86/x
  3. Step 3: Cross multiply
    8,121.07x = 12,157.84 × 7,342.86
  4. Step 4: Simplify right side
    8,121.07x = 89,273,317.02
  5. Step 5: Solve for x
    x = 89,273,317.02/8,121.07
  6. Step 6: Final answer
    x = 10,992.80

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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.