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Finding the Fourth Proportional to 11,968.36, 16,516.16 and 6,934.20

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Solution

The fourth proportional to 11,968.36, 16,516.16 and 6,934.20 is: 9,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.36 : 16,516.16 = 6,934.20 : x
  2. Step 2: Convert to fraction form
    11,968.36/16,516.16 = 6,934.20/x
  3. Step 3: Cross multiply
    11,968.36x = 16,516.16 × 6,934.20
  4. Step 4: Simplify right side
    11,968.36x = 114,526,356.67
  5. Step 5: Solve for x
    x = 114,526,356.67/11,968.36
  6. Step 6: Final answer
    x = 9,569.09

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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.