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Finding the Fourth Proportional to 11,366, 17,051.27 and 3,968.47

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Solution

The fourth proportional to 11,366, 17,051.27 and 3,968.47 is: 5,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366 : 17,051.27 = 3,968.47 : x
  2. Step 2: Convert to fraction form
    11,366/17,051.27 = 3,968.47/x
  3. Step 3: Cross multiply
    11,366x = 17,051.27 × 3,968.47
  4. Step 4: Simplify right side
    11,366x = 67,667,453.46
  5. Step 5: Solve for x
    x = 67,667,453.46/11,366
  6. Step 6: Final answer
    x = 5,953.50

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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.