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Finding the Fourth Proportional to 8,114.42, 11,197.98 and 4,759.22

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Solution

The fourth proportional to 8,114.42, 11,197.98 and 4,759.22 is: 6,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.42 : 11,197.98 = 4,759.22 : x
  2. Step 2: Convert to fraction form
    8,114.42/11,197.98 = 4,759.22/x
  3. Step 3: Cross multiply
    8,114.42x = 11,197.98 × 4,759.22
  4. Step 4: Simplify right side
    8,114.42x = 53,293,650.38
  5. Step 5: Solve for x
    x = 53,293,650.38/8,114.42
  6. Step 6: Final answer
    x = 6,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.