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Finding the Fourth Proportional to 11,675.63, 16,113.72 and 6,640.61

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Solution

The fourth proportional to 11,675.63, 16,113.72 and 6,640.61 is: 9,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.63 : 16,113.72 = 6,640.61 : x
  2. Step 2: Convert to fraction form
    11,675.63/16,113.72 = 6,640.61/x
  3. Step 3: Cross multiply
    11,675.63x = 16,113.72 × 6,640.61
  4. Step 4: Simplify right side
    11,675.63x = 107,004,849.60
  5. Step 5: Solve for x
    x = 107,004,849.60/11,675.63
  6. Step 6: Final answer
    x = 9,164.81

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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.