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Finding the Fourth Proportional to 7,714.14, 10,645.53 and 4,177.33

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Solution

The fourth proportional to 7,714.14, 10,645.53 and 4,177.33 is: 5,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.14 : 10,645.53 = 4,177.33 : x
  2. Step 2: Convert to fraction form
    7,714.14/10,645.53 = 4,177.33/x
  3. Step 3: Cross multiply
    7,714.14x = 10,645.53 × 4,177.33
  4. Step 4: Simplify right side
    7,714.14x = 44,469,891.83
  5. Step 5: Solve for x
    x = 44,469,891.83/7,714.14
  6. Step 6: Final answer
    x = 5,764.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.