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Finding the Fourth Proportional to 11,520.50, 17,280.77 and 7,813.54

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Solution

The fourth proportional to 11,520.50, 17,280.77 and 7,813.54 is: 11,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.50 : 17,280.77 = 7,813.54 : x
  2. Step 2: Convert to fraction form
    11,520.50/17,280.77 = 7,813.54/x
  3. Step 3: Cross multiply
    11,520.50x = 17,280.77 × 7,813.54
  4. Step 4: Simplify right side
    11,520.50x = 135,023,987.63
  5. Step 5: Solve for x
    x = 135,023,987.63/11,520.50
  6. Step 6: Final answer
    x = 11,720.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.