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Finding the Fourth Proportional to 7,390.31, 10,198.64 and 4,033.14

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Solution

The fourth proportional to 7,390.31, 10,198.64 and 4,033.14 is: 5,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.31 : 10,198.64 = 4,033.14 : x
  2. Step 2: Convert to fraction form
    7,390.31/10,198.64 = 4,033.14/x
  3. Step 3: Cross multiply
    7,390.31x = 10,198.64 × 4,033.14
  4. Step 4: Simplify right side
    7,390.31x = 41,132,542.93
  5. Step 5: Solve for x
    x = 41,132,542.93/7,390.31
  6. Step 6: Final answer
    x = 5,565.74

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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.