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Finding the Fourth Proportional to 11,406.72, 17,093.68 and 4,823.85

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Solution

The fourth proportional to 11,406.72, 17,093.68 and 4,823.85 is: 7,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.72 : 17,093.68 = 4,823.85 : x
  2. Step 2: Convert to fraction form
    11,406.72/17,093.68 = 4,823.85/x
  3. Step 3: Cross multiply
    11,406.72x = 17,093.68 × 4,823.85
  4. Step 4: Simplify right side
    11,406.72x = 82,457,427.44
  5. Step 5: Solve for x
    x = 82,457,427.44/11,406.72
  6. Step 6: Final answer
    x = 7,228.84

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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.