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Finding the Fourth Proportional to 11,767.42, 17,650.90 and 4,747.29

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Solution

The fourth proportional to 11,767.42, 17,650.90 and 4,747.29 is: 7,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.42 : 17,650.90 = 4,747.29 : x
  2. Step 2: Convert to fraction form
    11,767.42/17,650.90 = 4,747.29/x
  3. Step 3: Cross multiply
    11,767.42x = 17,650.90 × 4,747.29
  4. Step 4: Simplify right side
    11,767.42x = 83,793,941.06
  5. Step 5: Solve for x
    x = 83,793,941.06/11,767.42
  6. Step 6: Final answer
    x = 7,120.84

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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.