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Finding the Fourth Proportional to 8,057.88, 12,085.79 and 2,214.95

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Solution

The fourth proportional to 8,057.88, 12,085.79 and 2,214.95 is: 3,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.88 : 12,085.79 = 2,214.95 : x
  2. Step 2: Convert to fraction form
    8,057.88/12,085.79 = 2,214.95/x
  3. Step 3: Cross multiply
    8,057.88x = 12,085.79 × 2,214.95
  4. Step 4: Simplify right side
    8,057.88x = 26,769,349.06
  5. Step 5: Solve for x
    x = 26,769,349.06/8,057.88
  6. Step 6: Final answer
    x = 3,322.13

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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.