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Finding the Fourth Proportional to 11,863.68, 17,784.36 and 4,066.92

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Solution

The fourth proportional to 11,863.68, 17,784.36 and 4,066.92 is: 6,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.68 : 17,784.36 = 4,066.92 : x
  2. Step 2: Convert to fraction form
    11,863.68/17,784.36 = 4,066.92/x
  3. Step 3: Cross multiply
    11,863.68x = 17,784.36 × 4,066.92
  4. Step 4: Simplify right side
    11,863.68x = 72,327,569.37
  5. Step 5: Solve for x
    x = 72,327,569.37/11,863.68
  6. Step 6: Final answer
    x = 6,096.55

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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.