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Finding the Fourth Proportional to 11,683.85, 17,527.82 and 5,024.43

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Solution

The fourth proportional to 11,683.85, 17,527.82 and 5,024.43 is: 7,537.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.85 : 17,527.82 = 5,024.43 : x
  2. Step 2: Convert to fraction form
    11,683.85/17,527.82 = 5,024.43/x
  3. Step 3: Cross multiply
    11,683.85x = 17,527.82 × 5,024.43
  4. Step 4: Simplify right side
    11,683.85x = 88,067,279.52
  5. Step 5: Solve for x
    x = 88,067,279.52/11,683.85
  6. Step 6: Final answer
    x = 7,537.53

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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.