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Finding the Fourth Proportional to 7,548.54, 11,319.16 and 3,164.82

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Solution

The fourth proportional to 7,548.54, 11,319.16 and 3,164.82 is: 4,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.54 : 11,319.16 = 3,164.82 : x
  2. Step 2: Convert to fraction form
    7,548.54/11,319.16 = 3,164.82/x
  3. Step 3: Cross multiply
    7,548.54x = 11,319.16 × 3,164.82
  4. Step 4: Simplify right side
    7,548.54x = 35,823,103.95
  5. Step 5: Solve for x
    x = 35,823,103.95/7,548.54
  6. Step 6: Final answer
    x = 4,745.70

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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.