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Finding the Fourth Proportional to 7,144.63, 10,714.43 and 2,145.51

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Solution

The fourth proportional to 7,144.63, 10,714.43 and 2,145.51 is: 3,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.63 : 10,714.43 = 2,145.51 : x
  2. Step 2: Convert to fraction form
    7,144.63/10,714.43 = 2,145.51/x
  3. Step 3: Cross multiply
    7,144.63x = 10,714.43 × 2,145.51
  4. Step 4: Simplify right side
    7,144.63x = 22,987,922.07
  5. Step 5: Solve for x
    x = 22,987,922.07/7,144.63
  6. Step 6: Final answer
    x = 3,217.51

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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.