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Finding the Fourth Proportional to 6,714.30, 10,067.51 and 2,032.90

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Solution

The fourth proportional to 6,714.30, 10,067.51 and 2,032.90 is: 3,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.30 : 10,067.51 = 2,032.90 : x
  2. Step 2: Convert to fraction form
    6,714.30/10,067.51 = 2,032.90/x
  3. Step 3: Cross multiply
    6,714.30x = 10,067.51 × 2,032.90
  4. Step 4: Simplify right side
    6,714.30x = 20,466,241.08
  5. Step 5: Solve for x
    x = 20,466,241.08/6,714.30
  6. Step 6: Final answer
    x = 3,048.16

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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.