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Finding the Fourth Proportional to 7,143.25, 10,714.48 and 2,212.74

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Solution

The fourth proportional to 7,143.25, 10,714.48 and 2,212.74 is: 3,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.25 : 10,714.48 = 2,212.74 : x
  2. Step 2: Convert to fraction form
    7,143.25/10,714.48 = 2,212.74/x
  3. Step 3: Cross multiply
    7,143.25x = 10,714.48 × 2,212.74
  4. Step 4: Simplify right side
    7,143.25x = 23,708,383.08
  5. Step 5: Solve for x
    x = 23,708,383.08/7,143.25
  6. Step 6: Final answer
    x = 3,318.99

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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.