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Finding the Fourth Proportional to 7,454.09, 10,286.93 and 4,097.18

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Solution

The fourth proportional to 7,454.09, 10,286.93 and 4,097.18 is: 5,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.09 : 10,286.93 = 4,097.18 : x
  2. Step 2: Convert to fraction form
    7,454.09/10,286.93 = 4,097.18/x
  3. Step 3: Cross multiply
    7,454.09x = 10,286.93 × 4,097.18
  4. Step 4: Simplify right side
    7,454.09x = 42,147,439.82
  5. Step 5: Solve for x
    x = 42,147,439.82/7,454.09
  6. Step 6: Final answer
    x = 5,654.27

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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.