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Finding the Fourth Proportional to 8,740.98, 13,108.50 and 3,193.09

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Solution

The fourth proportional to 8,740.98, 13,108.50 and 3,193.09 is: 4,788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.98 : 13,108.50 = 3,193.09 : x
  2. Step 2: Convert to fraction form
    8,740.98/13,108.50 = 3,193.09/x
  3. Step 3: Cross multiply
    8,740.98x = 13,108.50 × 3,193.09
  4. Step 4: Simplify right side
    8,740.98x = 41,856,587.49
  5. Step 5: Solve for x
    x = 41,856,587.49/8,740.98
  6. Step 6: Final answer
    x = 4,788.55

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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.