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Finding the Fourth Proportional to 8,774.85, 13,164.57 and 3,845.46

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Solution

The fourth proportional to 8,774.85, 13,164.57 and 3,845.46 is: 5,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.85 : 13,164.57 = 3,845.46 : x
  2. Step 2: Convert to fraction form
    8,774.85/13,164.57 = 3,845.46/x
  3. Step 3: Cross multiply
    8,774.85x = 13,164.57 × 3,845.46
  4. Step 4: Simplify right side
    8,774.85x = 50,623,827.35
  5. Step 5: Solve for x
    x = 50,623,827.35/8,774.85
  6. Step 6: Final answer
    x = 5,769.20

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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.