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Finding the Fourth Proportional to 11,509.14, 17,266.25 and 6,833.42

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Solution

The fourth proportional to 11,509.14, 17,266.25 and 6,833.42 is: 10,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.14 : 17,266.25 = 6,833.42 : x
  2. Step 2: Convert to fraction form
    11,509.14/17,266.25 = 6,833.42/x
  3. Step 3: Cross multiply
    11,509.14x = 17,266.25 × 6,833.42
  4. Step 4: Simplify right side
    11,509.14x = 117,987,538.08
  5. Step 5: Solve for x
    x = 117,987,538.08/11,509.14
  6. Step 6: Final answer
    x = 10,251.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.