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Finding the Fourth Proportional to 8,071.65, 12,104.10 and 7,241.31

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Solution

The fourth proportional to 8,071.65, 12,104.10 and 7,241.31 is: 10,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.65 : 12,104.10 = 7,241.31 : x
  2. Step 2: Convert to fraction form
    8,071.65/12,104.10 = 7,241.31/x
  3. Step 3: Cross multiply
    8,071.65x = 12,104.10 × 7,241.31
  4. Step 4: Simplify right side
    8,071.65x = 87,649,540.37
  5. Step 5: Solve for x
    x = 87,649,540.37/8,071.65
  6. Step 6: Final answer
    x = 10,858.94

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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.