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Finding the Fourth Proportional to 11,697.89, 16,141.68 and 6,662.12

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Solution

The fourth proportional to 11,697.89, 16,141.68 and 6,662.12 is: 9,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.89 : 16,141.68 = 6,662.12 : x
  2. Step 2: Convert to fraction form
    11,697.89/16,141.68 = 6,662.12/x
  3. Step 3: Cross multiply
    11,697.89x = 16,141.68 × 6,662.12
  4. Step 4: Simplify right side
    11,697.89x = 107,537,728.45
  5. Step 5: Solve for x
    x = 107,537,728.45/11,697.89
  6. Step 6: Final answer
    x = 9,192.92

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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.