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Finding the Fourth Proportional to 7,183.69, 10,771.88 and 3,284.75

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Solution

The fourth proportional to 7,183.69, 10,771.88 and 3,284.75 is: 4,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.69 : 10,771.88 = 3,284.75 : x
  2. Step 2: Convert to fraction form
    7,183.69/10,771.88 = 3,284.75/x
  3. Step 3: Cross multiply
    7,183.69x = 10,771.88 × 3,284.75
  4. Step 4: Simplify right side
    7,183.69x = 35,382,916.41
  5. Step 5: Solve for x
    x = 35,382,916.41/7,183.69
  6. Step 6: Final answer
    x = 4,925.45

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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.