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Finding the Fourth Proportional to 10,846.84, 16,270.83 and 3,056.26

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Solution

The fourth proportional to 10,846.84, 16,270.83 and 3,056.26 is: 4,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.84 : 16,270.83 = 3,056.26 : x
  2. Step 2: Convert to fraction form
    10,846.84/16,270.83 = 3,056.26/x
  3. Step 3: Cross multiply
    10,846.84x = 16,270.83 × 3,056.26
  4. Step 4: Simplify right side
    10,846.84x = 49,727,886.90
  5. Step 5: Solve for x
    x = 49,727,886.90/10,846.84
  6. Step 6: Final answer
    x = 4,584.55

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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.