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Finding the Fourth Proportional to 7,714.46, 10,634.81 and 5,057.26

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Solution

The fourth proportional to 7,714.46, 10,634.81 and 5,057.26 is: 6,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.46 : 10,634.81 = 5,057.26 : x
  2. Step 2: Convert to fraction form
    7,714.46/10,634.81 = 5,057.26/x
  3. Step 3: Cross multiply
    7,714.46x = 10,634.81 × 5,057.26
  4. Step 4: Simplify right side
    7,714.46x = 53,782,947.35
  5. Step 5: Solve for x
    x = 53,782,947.35/7,714.46
  6. Step 6: Final answer
    x = 6,971.70

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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.