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Finding the Fourth Proportional to 7,311.74, 10,090.16 and 3,954.54

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Solution

The fourth proportional to 7,311.74, 10,090.16 and 3,954.54 is: 5,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.74 : 10,090.16 = 3,954.54 : x
  2. Step 2: Convert to fraction form
    7,311.74/10,090.16 = 3,954.54/x
  3. Step 3: Cross multiply
    7,311.74x = 10,090.16 × 3,954.54
  4. Step 4: Simplify right side
    7,311.74x = 39,901,974.22
  5. Step 5: Solve for x
    x = 39,901,974.22/7,311.74
  6. Step 6: Final answer
    x = 5,457.25

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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.