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Finding the Fourth Proportional to 10,633.25, 14,673.89 and 5,917.84

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Solution

The fourth proportional to 10,633.25, 14,673.89 and 5,917.84 is: 8,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.25 : 14,673.89 = 5,917.84 : x
  2. Step 2: Convert to fraction form
    10,633.25/14,673.89 = 5,917.84/x
  3. Step 3: Cross multiply
    10,633.25x = 14,673.89 × 5,917.84
  4. Step 4: Simplify right side
    10,633.25x = 86,837,630.24
  5. Step 5: Solve for x
    x = 86,837,630.24/10,633.25
  6. Step 6: Final answer
    x = 8,166.61

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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.