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Finding the Fourth Proportional to 11,953.50, 17,933.13 and 3,745.50

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Solution

The fourth proportional to 11,953.50, 17,933.13 and 3,745.50 is: 5,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.50 : 17,933.13 = 3,745.50 : x
  2. Step 2: Convert to fraction form
    11,953.50/17,933.13 = 3,745.50/x
  3. Step 3: Cross multiply
    11,953.50x = 17,933.13 × 3,745.50
  4. Step 4: Simplify right side
    11,953.50x = 67,168,538.42
  5. Step 5: Solve for x
    x = 67,168,538.42/11,953.50
  6. Step 6: Final answer
    x = 5,619.15

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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.