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Finding the Fourth Proportional to 11,495.25, 17,258.64 and 5,952.42

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Solution

The fourth proportional to 11,495.25, 17,258.64 and 5,952.42 is: 8,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.25 : 17,258.64 = 5,952.42 : x
  2. Step 2: Convert to fraction form
    11,495.25/17,258.64 = 5,952.42/x
  3. Step 3: Cross multiply
    11,495.25x = 17,258.64 × 5,952.42
  4. Step 4: Simplify right side
    11,495.25x = 102,730,673.91
  5. Step 5: Solve for x
    x = 102,730,673.91/11,495.25
  6. Step 6: Final answer
    x = 8,936.79

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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.