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Finding the Fourth Proportional to 11,661.36, 16,084.68 and 6,942

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Solution

The fourth proportional to 11,661.36, 16,084.68 and 6,942 is: 9,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.36 : 16,084.68 = 6,942 : x
  2. Step 2: Convert to fraction form
    11,661.36/16,084.68 = 6,942/x
  3. Step 3: Cross multiply
    11,661.36x = 16,084.68 × 6,942
  4. Step 4: Simplify right side
    11,661.36x = 111,659,848.56
  5. Step 5: Solve for x
    x = 111,659,848.56/11,661.36
  6. Step 6: Final answer
    x = 9,575.20

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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.