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Finding the Fourth Proportional to 7,111.57, 10,666.97 and 2,181.23

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Solution

The fourth proportional to 7,111.57, 10,666.97 and 2,181.23 is: 3,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.57 : 10,666.97 = 2,181.23 : x
  2. Step 2: Convert to fraction form
    7,111.57/10,666.97 = 2,181.23/x
  3. Step 3: Cross multiply
    7,111.57x = 10,666.97 × 2,181.23
  4. Step 4: Simplify right side
    7,111.57x = 23,267,114.97
  5. Step 5: Solve for x
    x = 23,267,114.97/7,111.57
  6. Step 6: Final answer
    x = 3,271.73

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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.