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Finding the Fourth Proportional to 7,114.83, 10,680.14 and 4,195.18

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Solution

The fourth proportional to 7,114.83, 10,680.14 and 4,195.18 is: 6,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.83 : 10,680.14 = 4,195.18 : x
  2. Step 2: Convert to fraction form
    7,114.83/10,680.14 = 4,195.18/x
  3. Step 3: Cross multiply
    7,114.83x = 10,680.14 × 4,195.18
  4. Step 4: Simplify right side
    7,114.83x = 44,805,109.73
  5. Step 5: Solve for x
    x = 44,805,109.73/7,114.83
  6. Step 6: Final answer
    x = 6,297.43

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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.