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Finding the Fourth Proportional to 11,459.26, 17,176.74 and 7,286.14

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Solution

The fourth proportional to 11,459.26, 17,176.74 and 7,286.14 is: 10,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,459.26 : 17,176.74 = 7,286.14 : x
  2. Step 2: Convert to fraction form
    11,459.26/17,176.74 = 7,286.14/x
  3. Step 3: Cross multiply
    11,459.26x = 17,176.74 × 7,286.14
  4. Step 4: Simplify right side
    11,459.26x = 125,152,132.38
  5. Step 5: Solve for x
    x = 125,152,132.38/11,459.26
  6. Step 6: Final answer
    x = 10,921.48

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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.