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Finding the Fourth Proportional to 8,536.75, 12,807.02 and 2,614.46

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Solution

The fourth proportional to 8,536.75, 12,807.02 and 2,614.46 is: 3,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.75 : 12,807.02 = 2,614.46 : x
  2. Step 2: Convert to fraction form
    8,536.75/12,807.02 = 2,614.46/x
  3. Step 3: Cross multiply
    8,536.75x = 12,807.02 × 2,614.46
  4. Step 4: Simplify right side
    8,536.75x = 33,483,428.44
  5. Step 5: Solve for x
    x = 33,483,428.44/8,536.75
  6. Step 6: Final answer
    x = 3,922.27

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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.