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Finding the Fourth Proportional to 7,612.14, 11,410.48 and 5,147.24

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Solution

The fourth proportional to 7,612.14, 11,410.48 and 5,147.24 is: 7,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.14 : 11,410.48 = 5,147.24 : x
  2. Step 2: Convert to fraction form
    7,612.14/11,410.48 = 5,147.24/x
  3. Step 3: Cross multiply
    7,612.14x = 11,410.48 × 5,147.24
  4. Step 4: Simplify right side
    7,612.14x = 58,732,453.34
  5. Step 5: Solve for x
    x = 58,732,453.34/7,612.14
  6. Step 6: Final answer
    x = 7,715.63

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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.