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Finding the Fourth Proportional to 7,897.26, 11,842.40 and 3,511.64

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Solution

The fourth proportional to 7,897.26, 11,842.40 and 3,511.64 is: 5,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.26 : 11,842.40 = 3,511.64 : x
  2. Step 2: Convert to fraction form
    7,897.26/11,842.40 = 3,511.64/x
  3. Step 3: Cross multiply
    7,897.26x = 11,842.40 × 3,511.64
  4. Step 4: Simplify right side
    7,897.26x = 41,586,245.54
  5. Step 5: Solve for x
    x = 41,586,245.54/7,897.26
  6. Step 6: Final answer
    x = 5,265.91

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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.