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Finding the Fourth Proportional to 11,674.36, 16,102.62 and 6,955

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Solution

The fourth proportional to 11,674.36, 16,102.62 and 6,955 is: 9,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.36 : 16,102.62 = 6,955 : x
  2. Step 2: Convert to fraction form
    11,674.36/16,102.62 = 6,955/x
  3. Step 3: Cross multiply
    11,674.36x = 16,102.62 × 6,955
  4. Step 4: Simplify right side
    11,674.36x = 111,993,722.10
  5. Step 5: Solve for x
    x = 111,993,722.10/11,674.36
  6. Step 6: Final answer
    x = 9,593.14

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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.