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Finding the Fourth Proportional to 8,053.74, 12,080.49 and 2,792.58

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Solution

The fourth proportional to 8,053.74, 12,080.49 and 2,792.58 is: 4,188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.74 : 12,080.49 = 2,792.58 : x
  2. Step 2: Convert to fraction form
    8,053.74/12,080.49 = 2,792.58/x
  3. Step 3: Cross multiply
    8,053.74x = 12,080.49 × 2,792.58
  4. Step 4: Simplify right side
    8,053.74x = 33,735,734.76
  5. Step 5: Solve for x
    x = 33,735,734.76/8,053.74
  6. Step 6: Final answer
    x = 4,188.83

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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.