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Finding the Fourth Proportional to 8,059.52, 12,089.50 and 2,216.09

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Solution

The fourth proportional to 8,059.52, 12,089.50 and 2,216.09 is: 3,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,059.52 : 12,089.50 = 2,216.09 : x
  2. Step 2: Convert to fraction form
    8,059.52/12,089.50 = 2,216.09/x
  3. Step 3: Cross multiply
    8,059.52x = 12,089.50 × 2,216.09
  4. Step 4: Simplify right side
    8,059.52x = 26,791,444.74
  5. Step 5: Solve for x
    x = 26,791,444.74/8,059.52
  6. Step 6: Final answer
    x = 3,324.20

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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.