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Finding the Fourth Proportional to 6,876.63, 10,308.53 and 3,585.80

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Solution

The fourth proportional to 6,876.63, 10,308.53 and 3,585.80 is: 5,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.63 : 10,308.53 = 3,585.80 : x
  2. Step 2: Convert to fraction form
    6,876.63/10,308.53 = 3,585.80/x
  3. Step 3: Cross multiply
    6,876.63x = 10,308.53 × 3,585.80
  4. Step 4: Simplify right side
    6,876.63x = 36,964,361.61
  5. Step 5: Solve for x
    x = 36,964,361.61/6,876.63
  6. Step 6: Final answer
    x = 5,375.36

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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.