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Finding the Fourth Proportional to 8,026.89, 12,043.19 and 3,584.15

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Solution

The fourth proportional to 8,026.89, 12,043.19 and 3,584.15 is: 5,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.89 : 12,043.19 = 3,584.15 : x
  2. Step 2: Convert to fraction form
    8,026.89/12,043.19 = 3,584.15/x
  3. Step 3: Cross multiply
    8,026.89x = 12,043.19 × 3,584.15
  4. Step 4: Simplify right side
    8,026.89x = 43,164,599.44
  5. Step 5: Solve for x
    x = 43,164,599.44/8,026.89
  6. Step 6: Final answer
    x = 5,377.50

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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.