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Finding the Fourth Proportional to 8,130.96, 12,196.44 and 2,287.77

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Solution

The fourth proportional to 8,130.96, 12,196.44 and 2,287.77 is: 3,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.96 : 12,196.44 = 2,287.77 : x
  2. Step 2: Convert to fraction form
    8,130.96/12,196.44 = 2,287.77/x
  3. Step 3: Cross multiply
    8,130.96x = 12,196.44 × 2,287.77
  4. Step 4: Simplify right side
    8,130.96x = 27,902,649.54
  5. Step 5: Solve for x
    x = 27,902,649.54/8,130.96
  6. Step 6: Final answer
    x = 3,431.66

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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.