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Finding the Fourth Proportional to 11,773.86, 17,656.26 and 5,015.16

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Solution

The fourth proportional to 11,773.86, 17,656.26 and 5,015.16 is: 7,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.86 : 17,656.26 = 5,015.16 : x
  2. Step 2: Convert to fraction form
    11,773.86/17,656.26 = 5,015.16/x
  3. Step 3: Cross multiply
    11,773.86x = 17,656.26 × 5,015.16
  4. Step 4: Simplify right side
    11,773.86x = 88,548,968.90
  5. Step 5: Solve for x
    x = 88,548,968.90/11,773.86
  6. Step 6: Final answer
    x = 7,520.81

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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.