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Finding the Fourth Proportional to 8,471.05, 12,710.22 and 4,091.79

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Solution

The fourth proportional to 8,471.05, 12,710.22 and 4,091.79 is: 6,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.05 : 12,710.22 = 4,091.79 : x
  2. Step 2: Convert to fraction form
    8,471.05/12,710.22 = 4,091.79/x
  3. Step 3: Cross multiply
    8,471.05x = 12,710.22 × 4,091.79
  4. Step 4: Simplify right side
    8,471.05x = 52,007,551.09
  5. Step 5: Solve for x
    x = 52,007,551.09/8,471.05
  6. Step 6: Final answer
    x = 6,139.45

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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.