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Finding the Fourth Proportional to 7,714.41, 11,585.75 and 7,063.78

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Solution

The fourth proportional to 7,714.41, 11,585.75 and 7,063.78 is: 10,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.41 : 11,585.75 = 7,063.78 : x
  2. Step 2: Convert to fraction form
    7,714.41/11,585.75 = 7,063.78/x
  3. Step 3: Cross multiply
    7,714.41x = 11,585.75 × 7,063.78
  4. Step 4: Simplify right side
    7,714.41x = 81,839,189.14
  5. Step 5: Solve for x
    x = 81,839,189.14/7,714.41
  6. Step 6: Final answer
    x = 10,608.61

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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.