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Finding the Fourth Proportional to 7,469.61, 11,193.93 and 5,902.71

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Solution

The fourth proportional to 7,469.61, 11,193.93 and 5,902.71 is: 8,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.61 : 11,193.93 = 5,902.71 : x
  2. Step 2: Convert to fraction form
    7,469.61/11,193.93 = 5,902.71/x
  3. Step 3: Cross multiply
    7,469.61x = 11,193.93 × 5,902.71
  4. Step 4: Simplify right side
    7,469.61x = 66,074,522.55
  5. Step 5: Solve for x
    x = 66,074,522.55/7,469.61
  6. Step 6: Final answer
    x = 8,845.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.