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Finding the Fourth Proportional to 7,111.75, 10,668.24 and 2,431.57

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Solution

The fourth proportional to 7,111.75, 10,668.24 and 2,431.57 is: 3,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.75 : 10,668.24 = 2,431.57 : x
  2. Step 2: Convert to fraction form
    7,111.75/10,668.24 = 2,431.57/x
  3. Step 3: Cross multiply
    7,111.75x = 10,668.24 × 2,431.57
  4. Step 4: Simplify right side
    7,111.75x = 25,940,572.34
  5. Step 5: Solve for x
    x = 25,940,572.34/7,111.75
  6. Step 6: Final answer
    x = 3,647.57

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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.