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Finding the Fourth Proportional to 8,364.80, 11,542.92 and 4,638.80

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Solution

The fourth proportional to 8,364.80, 11,542.92 and 4,638.80 is: 6,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.80 : 11,542.92 = 4,638.80 : x
  2. Step 2: Convert to fraction form
    8,364.80/11,542.92 = 4,638.80/x
  3. Step 3: Cross multiply
    8,364.80x = 11,542.92 × 4,638.80
  4. Step 4: Simplify right side
    8,364.80x = 53,545,297.30
  5. Step 5: Solve for x
    x = 53,545,297.30/8,364.80
  6. Step 6: Final answer
    x = 6,401.26

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