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Finding the Fourth Proportional to 10,804.78, 16,207.14 and 4,226.35

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Solution

The fourth proportional to 10,804.78, 16,207.14 and 4,226.35 is: 6,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.78 : 16,207.14 = 4,226.35 : x
  2. Step 2: Convert to fraction form
    10,804.78/16,207.14 = 4,226.35/x
  3. Step 3: Cross multiply
    10,804.78x = 16,207.14 × 4,226.35
  4. Step 4: Simplify right side
    10,804.78x = 68,497,046.14
  5. Step 5: Solve for x
    x = 68,497,046.14/10,804.78
  6. Step 6: Final answer
    x = 6,339.51

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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.