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Finding the Fourth Proportional to 11,312.91, 16,974.50 and 3,922.74

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Solution

The fourth proportional to 11,312.91, 16,974.50 and 3,922.74 is: 5,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.91 : 16,974.50 = 3,922.74 : x
  2. Step 2: Convert to fraction form
    11,312.91/16,974.50 = 3,922.74/x
  3. Step 3: Cross multiply
    11,312.91x = 16,974.50 × 3,922.74
  4. Step 4: Simplify right side
    11,312.91x = 66,586,530.52
  5. Step 5: Solve for x
    x = 66,586,530.52/11,312.91
  6. Step 6: Final answer
    x = 5,885.89

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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.