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Finding the Fourth Proportional to 6,877.22, 10,314.16 and 3,175.88

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Solution

The fourth proportional to 6,877.22, 10,314.16 and 3,175.88 is: 4,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.22 : 10,314.16 = 3,175.88 : x
  2. Step 2: Convert to fraction form
    6,877.22/10,314.16 = 3,175.88/x
  3. Step 3: Cross multiply
    6,877.22x = 10,314.16 × 3,175.88
  4. Step 4: Simplify right side
    6,877.22x = 32,756,552.31
  5. Step 5: Solve for x
    x = 32,756,552.31/6,877.22
  6. Step 6: Final answer
    x = 4,763.05

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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.