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Finding the Fourth Proportional to 8,136.54, 12,201.59 and 2,870.42

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Solution

The fourth proportional to 8,136.54, 12,201.59 and 2,870.42 is: 4,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136.54 : 12,201.59 = 2,870.42 : x
  2. Step 2: Convert to fraction form
    8,136.54/12,201.59 = 2,870.42/x
  3. Step 3: Cross multiply
    8,136.54x = 12,201.59 × 2,870.42
  4. Step 4: Simplify right side
    8,136.54x = 35,023,634.14
  5. Step 5: Solve for x
    x = 35,023,634.14/8,136.54
  6. Step 6: Final answer
    x = 4,304.49

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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.