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Finding the Fourth Proportional to 8,578.84, 12,868.02 and 2,735.32

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Solution

The fourth proportional to 8,578.84, 12,868.02 and 2,735.32 is: 4,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.84 : 12,868.02 = 2,735.32 : x
  2. Step 2: Convert to fraction form
    8,578.84/12,868.02 = 2,735.32/x
  3. Step 3: Cross multiply
    8,578.84x = 12,868.02 × 2,735.32
  4. Step 4: Simplify right side
    8,578.84x = 35,198,152.47
  5. Step 5: Solve for x
    x = 35,198,152.47/8,578.84
  6. Step 6: Final answer
    x = 4,102.90

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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.