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Finding the Fourth Proportional to 7,142.70, 10,714.05 and 3,244.38

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Solution

The fourth proportional to 7,142.70, 10,714.05 and 3,244.38 is: 4,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.70 : 10,714.05 = 3,244.38 : x
  2. Step 2: Convert to fraction form
    7,142.70/10,714.05 = 3,244.38/x
  3. Step 3: Cross multiply
    7,142.70x = 10,714.05 × 3,244.38
  4. Step 4: Simplify right side
    7,142.70x = 34,760,449.54
  5. Step 5: Solve for x
    x = 34,760,449.54/7,142.70
  6. Step 6: Final answer
    x = 4,866.57

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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.