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Finding the Fourth Proportional to 6,877.30, 10,308.59 and 3,175.22

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Solution

The fourth proportional to 6,877.30, 10,308.59 and 3,175.22 is: 4,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.30 : 10,308.59 = 3,175.22 : x
  2. Step 2: Convert to fraction form
    6,877.30/10,308.59 = 3,175.22/x
  3. Step 3: Cross multiply
    6,877.30x = 10,308.59 × 3,175.22
  4. Step 4: Simplify right side
    6,877.30x = 32,732,041.14
  5. Step 5: Solve for x
    x = 32,732,041.14/6,877.30
  6. Step 6: Final answer
    x = 4,759.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.