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Finding the Fourth Proportional to 7,280.16, 10,046.88 and 4,136.64

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Solution

The fourth proportional to 7,280.16, 10,046.88 and 4,136.64 is: 5,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.16 : 10,046.88 = 4,136.64 : x
  2. Step 2: Convert to fraction form
    7,280.16/10,046.88 = 4,136.64/x
  3. Step 3: Cross multiply
    7,280.16x = 10,046.88 × 4,136.64
  4. Step 4: Simplify right side
    7,280.16x = 41,560,325.68
  5. Step 5: Solve for x
    x = 41,560,325.68/7,280.16
  6. Step 6: Final answer
    x = 5,708.71

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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.