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Finding the Fourth Proportional to 6,714.39, 10,027.68 and 5,716.57

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Solution

The fourth proportional to 6,714.39, 10,027.68 and 5,716.57 is: 8,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.39 : 10,027.68 = 5,716.57 : x
  2. Step 2: Convert to fraction form
    6,714.39/10,027.68 = 5,716.57/x
  3. Step 3: Cross multiply
    6,714.39x = 10,027.68 × 5,716.57
  4. Step 4: Simplify right side
    6,714.39x = 57,323,934.66
  5. Step 5: Solve for x
    x = 57,323,934.66/6,714.39
  6. Step 6: Final answer
    x = 8,537.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.