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Finding the Fourth Proportional to 7,240.34, 10,861.98 and 2,309.84

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Solution

The fourth proportional to 7,240.34, 10,861.98 and 2,309.84 is: 3,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.34 : 10,861.98 = 2,309.84 : x
  2. Step 2: Convert to fraction form
    7,240.34/10,861.98 = 2,309.84/x
  3. Step 3: Cross multiply
    7,240.34x = 10,861.98 × 2,309.84
  4. Step 4: Simplify right side
    7,240.34x = 25,089,435.88
  5. Step 5: Solve for x
    x = 25,089,435.88/7,240.34
  6. Step 6: Final answer
    x = 3,465.23

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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.