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Finding the Fourth Proportional to 7,142.86, 10,710.42 and 2,211.16

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Solution

The fourth proportional to 7,142.86, 10,710.42 and 2,211.16 is: 3,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.86 : 10,710.42 = 2,211.16 : x
  2. Step 2: Convert to fraction form
    7,142.86/10,710.42 = 2,211.16/x
  3. Step 3: Cross multiply
    7,142.86x = 10,710.42 × 2,211.16
  4. Step 4: Simplify right side
    7,142.86x = 23,682,452.29
  5. Step 5: Solve for x
    x = 23,682,452.29/7,142.86
  6. Step 6: Final answer
    x = 3,315.54

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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.