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Finding the Fourth Proportional to 11,894.22, 16,412.83 and 6,588.05

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Solution

The fourth proportional to 11,894.22, 16,412.83 and 6,588.05 is: 9,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.22 : 16,412.83 = 6,588.05 : x
  2. Step 2: Convert to fraction form
    11,894.22/16,412.83 = 6,588.05/x
  3. Step 3: Cross multiply
    11,894.22x = 16,412.83 × 6,588.05
  4. Step 4: Simplify right side
    11,894.22x = 108,128,446.15
  5. Step 5: Solve for x
    x = 108,128,446.15/11,894.22
  6. Step 6: Final answer
    x = 9,090.84

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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.