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Finding the Fourth Proportional to 8,226, 11,354.76 and 4,914

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Solution

The fourth proportional to 8,226, 11,354.76 and 4,914 is: 6,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226 : 11,354.76 = 4,914 : x
  2. Step 2: Convert to fraction form
    8,226/11,354.76 = 4,914/x
  3. Step 3: Cross multiply
    8,226x = 11,354.76 × 4,914
  4. Step 4: Simplify right side
    8,226x = 55,797,290.64
  5. Step 5: Solve for x
    x = 55,797,290.64/8,226
  6. Step 6: Final answer
    x = 6,783.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.