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Finding the Fourth Proportional to 10,794.72, 16,187.84 and 5,246.44

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Solution

The fourth proportional to 10,794.72, 16,187.84 and 5,246.44 is: 7,867.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.72 : 16,187.84 = 5,246.44 : x
  2. Step 2: Convert to fraction form
    10,794.72/16,187.84 = 5,246.44/x
  3. Step 3: Cross multiply
    10,794.72x = 16,187.84 × 5,246.44
  4. Step 4: Simplify right side
    10,794.72x = 84,928,531.29
  5. Step 5: Solve for x
    x = 84,928,531.29/10,794.72
  6. Step 6: Final answer
    x = 7,867.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.