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Finding the Fourth Proportional to 8,086.16, 12,057.84 and 7,103.00

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Solution

The fourth proportional to 8,086.16, 12,057.84 and 7,103.00 is: 10,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.16 : 12,057.84 = 7,103.00 : x
  2. Step 2: Convert to fraction form
    8,086.16/12,057.84 = 7,103.00/x
  3. Step 3: Cross multiply
    8,086.16x = 12,057.84 × 7,103.00
  4. Step 4: Simplify right side
    8,086.16x = 85,646,867.66
  5. Step 5: Solve for x
    x = 85,646,867.66/8,086.16
  6. Step 6: Final answer
    x = 10,591.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.