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Finding the Fourth Proportional to 11,831, 17,742.66 and 3,931.40

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Solution

The fourth proportional to 11,831, 17,742.66 and 3,931.40 is: 5,895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831 : 17,742.66 = 3,931.40 : x
  2. Step 2: Convert to fraction form
    11,831/17,742.66 = 3,931.40/x
  3. Step 3: Cross multiply
    11,831x = 17,742.66 × 3,931.40
  4. Step 4: Simplify right side
    11,831x = 69,753,404.81
  5. Step 5: Solve for x
    x = 69,753,404.81/11,831
  6. Step 6: Final answer
    x = 5,895.82

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