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Finding the Fourth Proportional to 7,555.14, 10,425.80 and 4,198.16

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Solution

The fourth proportional to 7,555.14, 10,425.80 and 4,198.16 is: 5,793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,555.14 : 10,425.80 = 4,198.16 : x
  2. Step 2: Convert to fraction form
    7,555.14/10,425.80 = 4,198.16/x
  3. Step 3: Cross multiply
    7,555.14x = 10,425.80 × 4,198.16
  4. Step 4: Simplify right side
    7,555.14x = 43,769,176.53
  5. Step 5: Solve for x
    x = 43,769,176.53/7,555.14
  6. Step 6: Final answer
    x = 5,793.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.