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Finding the Fourth Proportional to 12,161.10, 16,782.48 and 7,379.67

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Solution

The fourth proportional to 12,161.10, 16,782.48 and 7,379.67 is: 10,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.10 : 16,782.48 = 7,379.67 : x
  2. Step 2: Convert to fraction form
    12,161.10/16,782.48 = 7,379.67/x
  3. Step 3: Cross multiply
    12,161.10x = 16,782.48 × 7,379.67
  4. Step 4: Simplify right side
    12,161.10x = 123,849,164.18
  5. Step 5: Solve for x
    x = 123,849,164.18/12,161.10
  6. Step 6: Final answer
    x = 10,184.04

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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.