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Finding the Fourth Proportional to 11,933.46, 17,893.08 and 4,538.46

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Solution

The fourth proportional to 11,933.46, 17,893.08 and 4,538.46 is: 6,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.46 : 17,893.08 = 4,538.46 : x
  2. Step 2: Convert to fraction form
    11,933.46/17,893.08 = 4,538.46/x
  3. Step 3: Cross multiply
    11,933.46x = 17,893.08 × 4,538.46
  4. Step 4: Simplify right side
    11,933.46x = 81,207,027.86
  5. Step 5: Solve for x
    x = 81,207,027.86/11,933.46
  6. Step 6: Final answer
    x = 6,804.99

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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.