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Finding the Fourth Proportional to 8,302.44, 12,453.66 and 5,697.48

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Solution

The fourth proportional to 8,302.44, 12,453.66 and 5,697.48 is: 8,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.44 : 12,453.66 = 5,697.48 : x
  2. Step 2: Convert to fraction form
    8,302.44/12,453.66 = 5,697.48/x
  3. Step 3: Cross multiply
    8,302.44x = 12,453.66 × 5,697.48
  4. Step 4: Simplify right side
    8,302.44x = 70,954,478.78
  5. Step 5: Solve for x
    x = 70,954,478.78/8,302.44
  6. Step 6: Final answer
    x = 8,546.22

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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.