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Finding the Fourth Proportional to 8,771.94, 13,156.50 and 3,223.92

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Solution

The fourth proportional to 8,771.94, 13,156.50 and 3,223.92 is: 4,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.94 : 13,156.50 = 3,223.92 : x
  2. Step 2: Convert to fraction form
    8,771.94/13,156.50 = 3,223.92/x
  3. Step 3: Cross multiply
    8,771.94x = 13,156.50 × 3,223.92
  4. Step 4: Simplify right side
    8,771.94x = 42,415,503.48
  5. Step 5: Solve for x
    x = 42,415,503.48/8,771.94
  6. Step 6: Final answer
    x = 4,835.36

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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.