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Finding the Fourth Proportional to 11,318.95, 16,978.44 and 3,923.42

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Solution

The fourth proportional to 11,318.95, 16,978.44 and 3,923.42 is: 5,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.95 : 16,978.44 = 3,923.42 : x
  2. Step 2: Convert to fraction form
    11,318.95/16,978.44 = 3,923.42/x
  3. Step 3: Cross multiply
    11,318.95x = 16,978.44 × 3,923.42
  4. Step 4: Simplify right side
    11,318.95x = 66,613,446.56
  5. Step 5: Solve for x
    x = 66,613,446.56/11,318.95
  6. Step 6: Final answer
    x = 5,885.13

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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.