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Finding the Fourth Proportional to 10,729.94, 16,090.94 and 3,708.16

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Solution

The fourth proportional to 10,729.94, 16,090.94 and 3,708.16 is: 5,560.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.94 : 16,090.94 = 3,708.16 : x
  2. Step 2: Convert to fraction form
    10,729.94/16,090.94 = 3,708.16/x
  3. Step 3: Cross multiply
    10,729.94x = 16,090.94 × 3,708.16
  4. Step 4: Simplify right side
    10,729.94x = 59,667,749.11
  5. Step 5: Solve for x
    x = 59,667,749.11/10,729.94
  6. Step 6: Final answer
    x = 5,560.87

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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.