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Finding the Fourth Proportional to 10,803.92, 16,194.36 and 4,562.64

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Solution

The fourth proportional to 10,803.92, 16,194.36 and 4,562.64 is: 6,839.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.92 : 16,194.36 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    10,803.92/16,194.36 = 4,562.64/x
  3. Step 3: Cross multiply
    10,803.92x = 16,194.36 × 4,562.64
  4. Step 4: Simplify right side
    10,803.92x = 73,889,034.71
  5. Step 5: Solve for x
    x = 73,889,034.71/10,803.92
  6. Step 6: Final answer
    x = 6,839.09

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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.