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Finding the Fourth Proportional to 11,684.36, 16,116.40 and 6,965

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Solution

The fourth proportional to 11,684.36, 16,116.40 and 6,965 is: 9,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.36 : 16,116.40 = 6,965 : x
  2. Step 2: Convert to fraction form
    11,684.36/16,116.40 = 6,965/x
  3. Step 3: Cross multiply
    11,684.36x = 16,116.40 × 6,965
  4. Step 4: Simplify right side
    11,684.36x = 112,250,726
  5. Step 5: Solve for x
    x = 112,250,726/11,684.36
  6. Step 6: Final answer
    x = 9,606.92

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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.