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Finding the Fourth Proportional to 11,381.50, 17,074.79 and 3,485.13

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Solution

The fourth proportional to 11,381.50, 17,074.79 and 3,485.13 is: 5,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.50 : 17,074.79 = 3,485.13 : x
  2. Step 2: Convert to fraction form
    11,381.50/17,074.79 = 3,485.13/x
  3. Step 3: Cross multiply
    11,381.50x = 17,074.79 × 3,485.13
  4. Step 4: Simplify right side
    11,381.50x = 59,507,777.50
  5. Step 5: Solve for x
    x = 59,507,777.50/11,381.50
  6. Step 6: Final answer
    x = 5,228.47

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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.