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Finding the Fourth Proportional to 7,714.49, 11,570.27 and 3,761.78

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Solution

The fourth proportional to 7,714.49, 11,570.27 and 3,761.78 is: 5,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.49 : 11,570.27 = 3,761.78 : x
  2. Step 2: Convert to fraction form
    7,714.49/11,570.27 = 3,761.78/x
  3. Step 3: Cross multiply
    7,714.49x = 11,570.27 × 3,761.78
  4. Step 4: Simplify right side
    7,714.49x = 43,524,733.62
  5. Step 5: Solve for x
    x = 43,524,733.62/7,714.49
  6. Step 6: Final answer
    x = 5,641.95

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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.