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Finding the Fourth Proportional to 8,057.62, 12,086.27 and 3,312.74

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Solution

The fourth proportional to 8,057.62, 12,086.27 and 3,312.74 is: 4,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.62 : 12,086.27 = 3,312.74 : x
  2. Step 2: Convert to fraction form
    8,057.62/12,086.27 = 3,312.74/x
  3. Step 3: Cross multiply
    8,057.62x = 12,086.27 × 3,312.74
  4. Step 4: Simplify right side
    8,057.62x = 40,038,708.58
  5. Step 5: Solve for x
    x = 40,038,708.58/8,057.62
  6. Step 6: Final answer
    x = 4,969.05

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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.