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Finding the Fourth Proportional to 11,704.35, 17,534.30 and 6,950.48

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Solution

The fourth proportional to 11,704.35, 17,534.30 and 6,950.48 is: 10,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.35 : 17,534.30 = 6,950.48 : x
  2. Step 2: Convert to fraction form
    11,704.35/17,534.30 = 6,950.48/x
  3. Step 3: Cross multiply
    11,704.35x = 17,534.30 × 6,950.48
  4. Step 4: Simplify right side
    11,704.35x = 121,871,679.04
  5. Step 5: Solve for x
    x = 121,871,679.04/11,704.35
  6. Step 6: Final answer
    x = 10,412.51

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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.