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Finding the Fourth Proportional to 10,805.36, 16,198.80 and 4,146.64

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Solution

The fourth proportional to 10,805.36, 16,198.80 and 4,146.64 is: 6,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.36 : 16,198.80 = 4,146.64 : x
  2. Step 2: Convert to fraction form
    10,805.36/16,198.80 = 4,146.64/x
  3. Step 3: Cross multiply
    10,805.36x = 16,198.80 × 4,146.64
  4. Step 4: Simplify right side
    10,805.36x = 67,170,541.17
  5. Step 5: Solve for x
    x = 67,170,541.17/10,805.36
  6. Step 6: Final answer
    x = 6,216.41

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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.