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Finding the Fourth Proportional to 11,698.35, 16,144.68 and 6,664.14

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Solution

The fourth proportional to 11,698.35, 16,144.68 and 6,664.14 is: 9,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.35 : 16,144.68 = 6,664.14 : x
  2. Step 2: Convert to fraction form
    11,698.35/16,144.68 = 6,664.14/x
  3. Step 3: Cross multiply
    11,698.35x = 16,144.68 × 6,664.14
  4. Step 4: Simplify right side
    11,698.35x = 107,590,407.78
  5. Step 5: Solve for x
    x = 107,590,407.78/11,698.35
  6. Step 6: Final answer
    x = 9,197.06

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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.