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Finding the Fourth Proportional to 7,584.67, 10,466.50 and 4,227.85

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Solution

The fourth proportional to 7,584.67, 10,466.50 and 4,227.85 is: 5,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.67 : 10,466.50 = 4,227.85 : x
  2. Step 2: Convert to fraction form
    7,584.67/10,466.50 = 4,227.85/x
  3. Step 3: Cross multiply
    7,584.67x = 10,466.50 × 4,227.85
  4. Step 4: Simplify right side
    7,584.67x = 44,250,792.03
  5. Step 5: Solve for x
    x = 44,250,792.03/7,584.67
  6. Step 6: Final answer
    x = 5,834.24

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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.