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Finding the Fourth Proportional to 7,548.68, 11,319.36 and 3,164.96

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Solution

The fourth proportional to 7,548.68, 11,319.36 and 3,164.96 is: 4,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.68 : 11,319.36 = 3,164.96 : x
  2. Step 2: Convert to fraction form
    7,548.68/11,319.36 = 3,164.96/x
  3. Step 3: Cross multiply
    7,548.68x = 11,319.36 × 3,164.96
  4. Step 4: Simplify right side
    7,548.68x = 35,825,265.03
  5. Step 5: Solve for x
    x = 35,825,265.03/7,548.68
  6. Step 6: Final answer
    x = 4,745.90

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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.