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Finding the Fourth Proportional to 8,108.57, 12,146.00 and 7,122.60

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Solution

The fourth proportional to 8,108.57, 12,146.00 and 7,122.60 is: 10,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.57 : 12,146.00 = 7,122.60 : x
  2. Step 2: Convert to fraction form
    8,108.57/12,146.00 = 7,122.60/x
  3. Step 3: Cross multiply
    8,108.57x = 12,146.00 × 7,122.60
  4. Step 4: Simplify right side
    8,108.57x = 86,511,063.99
  5. Step 5: Solve for x
    x = 86,511,063.99/8,108.57
  6. Step 6: Final answer
    x = 10,669.10

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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.