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Finding the Fourth Proportional to 7,311.78, 10,090.26 and 4,169.76

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Solution

The fourth proportional to 7,311.78, 10,090.26 and 4,169.76 is: 5,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.78 : 10,090.26 = 4,169.76 : x
  2. Step 2: Convert to fraction form
    7,311.78/10,090.26 = 4,169.76/x
  3. Step 3: Cross multiply
    7,311.78x = 10,090.26 × 4,169.76
  4. Step 4: Simplify right side
    7,311.78x = 42,073,962.54
  5. Step 5: Solve for x
    x = 42,073,962.54/7,311.78
  6. Step 6: Final answer
    x = 5,754.27

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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.