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Finding the Fourth Proportional to 8,793.66, 13,190.38 and 3,531

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Solution

The fourth proportional to 8,793.66, 13,190.38 and 3,531 is: 5,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,793.66 : 13,190.38 = 3,531 : x
  2. Step 2: Convert to fraction form
    8,793.66/13,190.38 = 3,531/x
  3. Step 3: Cross multiply
    8,793.66x = 13,190.38 × 3,531
  4. Step 4: Simplify right side
    8,793.66x = 46,575,231.78
  5. Step 5: Solve for x
    x = 46,575,231.78/8,793.66
  6. Step 6: Final answer
    x = 5,296.46

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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.