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Finding the Fourth Proportional to 5,111.73, 7,668.72 and 3,033.63

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Solution

The fourth proportional to 5,111.73, 7,668.72 and 3,033.63 is: 4,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.73 : 7,668.72 = 3,033.63 : x
  2. Step 2: Convert to fraction form
    5,111.73/7,668.72 = 3,033.63/x
  3. Step 3: Cross multiply
    5,111.73x = 7,668.72 × 3,033.63
  4. Step 4: Simplify right side
    5,111.73x = 23,264,059.05
  5. Step 5: Solve for x
    x = 23,264,059.05/5,111.73
  6. Step 6: Final answer
    x = 4,551.11

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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.