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Finding the Fourth Proportional to 8,111.66, 12,170.67 and 3,180.46

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Solution

The fourth proportional to 8,111.66, 12,170.67 and 3,180.46 is: 4,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.66 : 12,170.67 = 3,180.46 : x
  2. Step 2: Convert to fraction form
    8,111.66/12,170.67 = 3,180.46/x
  3. Step 3: Cross multiply
    8,111.66x = 12,170.67 × 3,180.46
  4. Step 4: Simplify right side
    8,111.66x = 38,708,268.25
  5. Step 5: Solve for x
    x = 38,708,268.25/8,111.66
  6. Step 6: Final answer
    x = 4,771.93

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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.