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Finding the Fourth Proportional to 8,531.96, 12,796.02 and 3,059.96

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Solution

The fourth proportional to 8,531.96, 12,796.02 and 3,059.96 is: 4,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.96 : 12,796.02 = 3,059.96 : x
  2. Step 2: Convert to fraction form
    8,531.96/12,796.02 = 3,059.96/x
  3. Step 3: Cross multiply
    8,531.96x = 12,796.02 × 3,059.96
  4. Step 4: Simplify right side
    8,531.96x = 39,155,309.36
  5. Step 5: Solve for x
    x = 39,155,309.36/8,531.96
  6. Step 6: Final answer
    x = 4,589.25

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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.