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Finding the Fourth Proportional to 7,390.97, 10,199.75 and 4,034

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Solution

The fourth proportional to 7,390.97, 10,199.75 and 4,034 is: 5,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.97 : 10,199.75 = 4,034 : x
  2. Step 2: Convert to fraction form
    7,390.97/10,199.75 = 4,034/x
  3. Step 3: Cross multiply
    7,390.97x = 10,199.75 × 4,034
  4. Step 4: Simplify right side
    7,390.97x = 41,145,791.50
  5. Step 5: Solve for x
    x = 41,145,791.50/7,390.97
  6. Step 6: Final answer
    x = 5,567.04

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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.