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Finding the Fourth Proportional to 11,855.18, 16,360.43 and 6,822.11

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Solution

The fourth proportional to 11,855.18, 16,360.43 and 6,822.11 is: 9,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.18 : 16,360.43 = 6,822.11 : x
  2. Step 2: Convert to fraction form
    11,855.18/16,360.43 = 6,822.11/x
  3. Step 3: Cross multiply
    11,855.18x = 16,360.43 × 6,822.11
  4. Step 4: Simplify right side
    11,855.18x = 111,612,537.19
  5. Step 5: Solve for x
    x = 111,612,537.19/11,855.18
  6. Step 6: Final answer
    x = 9,414.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.