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Finding the Fourth Proportional to 8,762.86, 13,137.20 and 5,982.54

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Solution

The fourth proportional to 8,762.86, 13,137.20 and 5,982.54 is: 8,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,762.86 : 13,137.20 = 5,982.54 : x
  2. Step 2: Convert to fraction form
    8,762.86/13,137.20 = 5,982.54/x
  3. Step 3: Cross multiply
    8,762.86x = 13,137.20 × 5,982.54
  4. Step 4: Simplify right side
    8,762.86x = 78,593,824.49
  5. Step 5: Solve for x
    x = 78,593,824.49/8,762.86
  6. Step 6: Final answer
    x = 8,968.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.