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Finding the Fourth Proportional to 11,571.85, 17,353.58 and 4,174.32

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Solution

The fourth proportional to 11,571.85, 17,353.58 and 4,174.32 is: 6,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.85 : 17,353.58 = 4,174.32 : x
  2. Step 2: Convert to fraction form
    11,571.85/17,353.58 = 4,174.32/x
  3. Step 3: Cross multiply
    11,571.85x = 17,353.58 × 4,174.32
  4. Step 4: Simplify right side
    11,571.85x = 72,439,406.50
  5. Step 5: Solve for x
    x = 72,439,406.50/11,571.85
  6. Step 6: Final answer
    x = 6,259.97

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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.