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Finding the Fourth Proportional to 7,469.82, 10,306.85 and 4,485.78

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Solution

The fourth proportional to 7,469.82, 10,306.85 and 4,485.78 is: 6,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.82 : 10,306.85 = 4,485.78 : x
  2. Step 2: Convert to fraction form
    7,469.82/10,306.85 = 4,485.78/x
  3. Step 3: Cross multiply
    7,469.82x = 10,306.85 × 4,485.78
  4. Step 4: Simplify right side
    7,469.82x = 46,234,239.16
  5. Step 5: Solve for x
    x = 46,234,239.16/7,469.82
  6. Step 6: Final answer
    x = 6,189.47

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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.