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Finding the Fourth Proportional to 7,174.11, 10,765.34 and 3,013.80

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Solution

The fourth proportional to 7,174.11, 10,765.34 and 3,013.80 is: 4,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.11 : 10,765.34 = 3,013.80 : x
  2. Step 2: Convert to fraction form
    7,174.11/10,765.34 = 3,013.80/x
  3. Step 3: Cross multiply
    7,174.11x = 10,765.34 × 3,013.80
  4. Step 4: Simplify right side
    7,174.11x = 32,444,566.62
  5. Step 5: Solve for x
    x = 32,444,566.62/7,174.11
  6. Step 6: Final answer
    x = 4,522.45

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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.