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Finding the Fourth Proportional to 7,280.50, 10,046.73 and 4,136.62

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Solution

The fourth proportional to 7,280.50, 10,046.73 and 4,136.62 is: 5,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.50 : 10,046.73 = 4,136.62 : x
  2. Step 2: Convert to fraction form
    7,280.50/10,046.73 = 4,136.62/x
  3. Step 3: Cross multiply
    7,280.50x = 10,046.73 × 4,136.62
  4. Step 4: Simplify right side
    7,280.50x = 41,559,504.25
  5. Step 5: Solve for x
    x = 41,559,504.25/7,280.50
  6. Step 6: Final answer
    x = 5,708.33

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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.