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Finding the Fourth Proportional to 7,142.87, 10,714.31 and 4,174.04

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Solution

The fourth proportional to 7,142.87, 10,714.31 and 4,174.04 is: 6,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.87 : 10,714.31 = 4,174.04 : x
  2. Step 2: Convert to fraction form
    7,142.87/10,714.31 = 4,174.04/x
  3. Step 3: Cross multiply
    7,142.87x = 10,714.31 × 4,174.04
  4. Step 4: Simplify right side
    7,142.87x = 44,721,958.51
  5. Step 5: Solve for x
    x = 44,721,958.51/7,142.87
  6. Step 6: Final answer
    x = 6,261.06

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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.