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Finding the Fourth Proportional to 11,561.42, 17,342.16 and 2,796.32

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Solution

The fourth proportional to 11,561.42, 17,342.16 and 2,796.32 is: 4,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.42 : 17,342.16 = 2,796.32 : x
  2. Step 2: Convert to fraction form
    11,561.42/17,342.16 = 2,796.32/x
  3. Step 3: Cross multiply
    11,561.42x = 17,342.16 × 2,796.32
  4. Step 4: Simplify right side
    11,561.42x = 48,494,228.85
  5. Step 5: Solve for x
    x = 48,494,228.85/11,561.42
  6. Step 6: Final answer
    x = 4,194.49

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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.