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Finding the Fourth Proportional to 11,697.46, 17,546.25 and 7,564.03

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Solution

The fourth proportional to 11,697.46, 17,546.25 and 7,564.03 is: 11,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.46 : 17,546.25 = 7,564.03 : x
  2. Step 2: Convert to fraction form
    11,697.46/17,546.25 = 7,564.03/x
  3. Step 3: Cross multiply
    11,697.46x = 17,546.25 × 7,564.03
  4. Step 4: Simplify right side
    11,697.46x = 132,720,361.39
  5. Step 5: Solve for x
    x = 132,720,361.39/11,697.46
  6. Step 6: Final answer
    x = 11,346.08

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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.