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Finding the Fourth Proportional to 7,073.56, 10,606.69 and 3,174.63

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Solution

The fourth proportional to 7,073.56, 10,606.69 and 3,174.63 is: 4,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.56 : 10,606.69 = 3,174.63 : x
  2. Step 2: Convert to fraction form
    7,073.56/10,606.69 = 3,174.63/x
  3. Step 3: Cross multiply
    7,073.56x = 10,606.69 × 3,174.63
  4. Step 4: Simplify right side
    7,073.56x = 33,672,316.27
  5. Step 5: Solve for x
    x = 33,672,316.27/7,073.56
  6. Step 6: Final answer
    x = 4,760.31

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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.