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Finding the Fourth Proportional to 7,140.85, 10,714.34 and 2,761.38

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Solution

The fourth proportional to 7,140.85, 10,714.34 and 2,761.38 is: 4,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.85 : 10,714.34 = 2,761.38 : x
  2. Step 2: Convert to fraction form
    7,140.85/10,714.34 = 2,761.38/x
  3. Step 3: Cross multiply
    7,140.85x = 10,714.34 × 2,761.38
  4. Step 4: Simplify right side
    7,140.85x = 29,586,364.19
  5. Step 5: Solve for x
    x = 29,586,364.19/7,140.85
  6. Step 6: Final answer
    x = 4,143.26

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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.