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Finding the Fourth Proportional to 10,802.44, 16,187.46 and 8,333.56

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Solution

The fourth proportional to 10,802.44, 16,187.46 and 8,333.56 is: 12,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.44 : 16,187.46 = 8,333.56 : x
  2. Step 2: Convert to fraction form
    10,802.44/16,187.46 = 8,333.56/x
  3. Step 3: Cross multiply
    10,802.44x = 16,187.46 × 8,333.56
  4. Step 4: Simplify right side
    10,802.44x = 134,899,169.16
  5. Step 5: Solve for x
    x = 134,899,169.16/10,802.44
  6. Step 6: Final answer
    x = 12,487.84

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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.