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Finding the Fourth Proportional to 8,238, 11,368.44 and 4,926

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Solution

The fourth proportional to 8,238, 11,368.44 and 4,926 is: 6,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238 : 11,368.44 = 4,926 : x
  2. Step 2: Convert to fraction form
    8,238/11,368.44 = 4,926/x
  3. Step 3: Cross multiply
    8,238x = 11,368.44 × 4,926
  4. Step 4: Simplify right side
    8,238x = 56,000,935.44
  5. Step 5: Solve for x
    x = 56,000,935.44/8,238
  6. Step 6: Final answer
    x = 6,797.88

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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.