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Finding the Fourth Proportional to 8,052.32, 12,074.02 and 2,784.49

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Solution

The fourth proportional to 8,052.32, 12,074.02 and 2,784.49 is: 4,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.32 : 12,074.02 = 2,784.49 : x
  2. Step 2: Convert to fraction form
    8,052.32/12,074.02 = 2,784.49/x
  3. Step 3: Cross multiply
    8,052.32x = 12,074.02 × 2,784.49
  4. Step 4: Simplify right side
    8,052.32x = 33,619,987.95
  5. Step 5: Solve for x
    x = 33,619,987.95/8,052.32
  6. Step 6: Final answer
    x = 4,175.19

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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.