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Finding the Fourth Proportional to 7,394.86, 10,205.04 and 4,207.78

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Solution

The fourth proportional to 7,394.86, 10,205.04 and 4,207.78 is: 5,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.86 : 10,205.04 = 4,207.78 : x
  2. Step 2: Convert to fraction form
    7,394.86/10,205.04 = 4,207.78/x
  3. Step 3: Cross multiply
    7,394.86x = 10,205.04 × 4,207.78
  4. Step 4: Simplify right side
    7,394.86x = 42,940,563.21
  5. Step 5: Solve for x
    x = 42,940,563.21/7,394.86
  6. Step 6: Final answer
    x = 5,806.81

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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.