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Finding the Fourth Proportional to 8,057.80, 12,087.90 and 2,214.52

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Solution

The fourth proportional to 8,057.80, 12,087.90 and 2,214.52 is: 3,322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.80 : 12,087.90 = 2,214.52 : x
  2. Step 2: Convert to fraction form
    8,057.80/12,087.90 = 2,214.52/x
  3. Step 3: Cross multiply
    8,057.80x = 12,087.90 × 2,214.52
  4. Step 4: Simplify right side
    8,057.80x = 26,768,896.31
  5. Step 5: Solve for x
    x = 26,768,896.31/8,057.80
  6. Step 6: Final answer
    x = 3,322.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.