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Finding the Fourth Proportional to 11,520.96, 17,268.48 and 5,352

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Solution

The fourth proportional to 11,520.96, 17,268.48 and 5,352 is: 8,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.96 : 17,268.48 = 5,352 : x
  2. Step 2: Convert to fraction form
    11,520.96/17,268.48 = 5,352/x
  3. Step 3: Cross multiply
    11,520.96x = 17,268.48 × 5,352
  4. Step 4: Simplify right side
    11,520.96x = 92,420,904.96
  5. Step 5: Solve for x
    x = 92,420,904.96/11,520.96
  6. Step 6: Final answer
    x = 8,021.98

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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.