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Finding the Fourth Proportional to 11,950.56, 17,933.04 and 4,164.84

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Solution

The fourth proportional to 11,950.56, 17,933.04 and 4,164.84 is: 6,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950.56 : 17,933.04 = 4,164.84 : x
  2. Step 2: Convert to fraction form
    11,950.56/17,933.04 = 4,164.84/x
  3. Step 3: Cross multiply
    11,950.56x = 17,933.04 × 4,164.84
  4. Step 4: Simplify right side
    11,950.56x = 74,688,242.31
  5. Step 5: Solve for x
    x = 74,688,242.31/11,950.56
  6. Step 6: Final answer
    x = 6,249.77

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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.