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Finding the Fourth Proportional to 8,059.64, 12,089.52 and 2,216.57

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Solution

The fourth proportional to 8,059.64, 12,089.52 and 2,216.57 is: 3,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.64 : 12,089.52 = 2,216.57 : x
  2. Step 2: Convert to fraction form
    8,059.64/12,089.52 = 2,216.57/x
  3. Step 3: Cross multiply
    8,059.64x = 12,089.52 × 2,216.57
  4. Step 4: Simplify right side
    8,059.64x = 26,797,206.90
  5. Step 5: Solve for x
    x = 26,797,206.90/8,059.64
  6. Step 6: Final answer
    x = 3,324.87

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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.