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Finding the Fourth Proportional to 8,453.76, 12,679.68 and 5,343.36

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Solution

The fourth proportional to 8,453.76, 12,679.68 and 5,343.36 is: 8,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.76 : 12,679.68 = 5,343.36 : x
  2. Step 2: Convert to fraction form
    8,453.76/12,679.68 = 5,343.36/x
  3. Step 3: Cross multiply
    8,453.76x = 12,679.68 × 5,343.36
  4. Step 4: Simplify right side
    8,453.76x = 67,752,094.92
  5. Step 5: Solve for x
    x = 67,752,094.92/8,453.76
  6. Step 6: Final answer
    x = 8,014.43

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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.