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Finding the Fourth Proportional to 7,714.85, 11,516.38 and 6,780.61

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Solution

The fourth proportional to 7,714.85, 11,516.38 and 6,780.61 is: 10,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.85 : 11,516.38 = 6,780.61 : x
  2. Step 2: Convert to fraction form
    7,714.85/11,516.38 = 6,780.61/x
  3. Step 3: Cross multiply
    7,714.85x = 11,516.38 × 6,780.61
  4. Step 4: Simplify right side
    7,714.85x = 78,088,078.84
  5. Step 5: Solve for x
    x = 78,088,078.84/7,714.85
  6. Step 6: Final answer
    x = 10,121.79

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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.