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Finding the Fourth Proportional to 8,361.68, 12,535.16 and 3,164.88

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Solution

The fourth proportional to 8,361.68, 12,535.16 and 3,164.88 is: 4,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.68 : 12,535.16 = 3,164.88 : x
  2. Step 2: Convert to fraction form
    8,361.68/12,535.16 = 3,164.88/x
  3. Step 3: Cross multiply
    8,361.68x = 12,535.16 × 3,164.88
  4. Step 4: Simplify right side
    8,361.68x = 39,672,277.18
  5. Step 5: Solve for x
    x = 39,672,277.18/8,361.68
  6. Step 6: Final answer
    x = 4,744.53

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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.