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Finding the Fourth Proportional to 8,033.74, 12,050.54 and 2,190.34

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Solution

The fourth proportional to 8,033.74, 12,050.54 and 2,190.34 is: 3,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.74 : 12,050.54 = 2,190.34 : x
  2. Step 2: Convert to fraction form
    8,033.74/12,050.54 = 2,190.34/x
  3. Step 3: Cross multiply
    8,033.74x = 12,050.54 × 2,190.34
  4. Step 4: Simplify right side
    8,033.74x = 26,394,779.78
  5. Step 5: Solve for x
    x = 26,394,779.78/8,033.74
  6. Step 6: Final answer
    x = 3,285.49

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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.