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Finding the Fourth Proportional to 8,344.43, 12,530.96 and 7,409.49

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Solution

The fourth proportional to 8,344.43, 12,530.96 and 7,409.49 is: 11,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.43 : 12,530.96 = 7,409.49 : x
  2. Step 2: Convert to fraction form
    8,344.43/12,530.96 = 7,409.49/x
  3. Step 3: Cross multiply
    8,344.43x = 12,530.96 × 7,409.49
  4. Step 4: Simplify right side
    8,344.43x = 92,848,022.81
  5. Step 5: Solve for x
    x = 92,848,022.81/8,344.43
  6. Step 6: Final answer
    x = 11,126.95

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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.