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Finding the Fourth Proportional to 7,142.78, 10,714.67 and 2,211.77

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Solution

The fourth proportional to 7,142.78, 10,714.67 and 2,211.77 is: 3,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.78 : 10,714.67 = 2,211.77 : x
  2. Step 2: Convert to fraction form
    7,142.78/10,714.67 = 2,211.77/x
  3. Step 3: Cross multiply
    7,142.78x = 10,714.67 × 2,211.77
  4. Step 4: Simplify right side
    7,142.78x = 23,698,321.03
  5. Step 5: Solve for x
    x = 23,698,321.03/7,142.78
  6. Step 6: Final answer
    x = 3,317.80

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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.