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Finding the Fourth Proportional to 7,791.72, 11,683.26 and 2,594.76

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Solution

The fourth proportional to 7,791.72, 11,683.26 and 2,594.76 is: 3,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.72 : 11,683.26 = 2,594.76 : x
  2. Step 2: Convert to fraction form
    7,791.72/11,683.26 = 2,594.76/x
  3. Step 3: Cross multiply
    7,791.72x = 11,683.26 × 2,594.76
  4. Step 4: Simplify right side
    7,791.72x = 30,315,255.72
  5. Step 5: Solve for x
    x = 30,315,255.72/7,791.72
  6. Step 6: Final answer
    x = 3,890.70

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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.