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Finding the Fourth Proportional to 10,684.66, 16,027.67 and 4,110.84

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Solution

The fourth proportional to 10,684.66, 16,027.67 and 4,110.84 is: 6,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.66 : 16,027.67 = 4,110.84 : x
  2. Step 2: Convert to fraction form
    10,684.66/16,027.67 = 4,110.84/x
  3. Step 3: Cross multiply
    10,684.66x = 16,027.67 × 4,110.84
  4. Step 4: Simplify right side
    10,684.66x = 65,887,174.10
  5. Step 5: Solve for x
    x = 65,887,174.10/10,684.66
  6. Step 6: Final answer
    x = 6,166.52

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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.