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Finding the Fourth Proportional to 8,443.84, 12,674.68 and 6,901.60

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Solution

The fourth proportional to 8,443.84, 12,674.68 and 6,901.60 is: 10,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.84 : 12,674.68 = 6,901.60 : x
  2. Step 2: Convert to fraction form
    8,443.84/12,674.68 = 6,901.60/x
  3. Step 3: Cross multiply
    8,443.84x = 12,674.68 × 6,901.60
  4. Step 4: Simplify right side
    8,443.84x = 87,475,571.49
  5. Step 5: Solve for x
    x = 87,475,571.49/8,443.84
  6. Step 6: Final answer
    x = 10,359.69

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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.