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Finding the Fourth Proportional to 11,686.36, 16,119.16 and 6,967

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Solution

The fourth proportional to 11,686.36, 16,119.16 and 6,967 is: 9,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.36 : 16,119.16 = 6,967 : x
  2. Step 2: Convert to fraction form
    11,686.36/16,119.16 = 6,967/x
  3. Step 3: Cross multiply
    11,686.36x = 16,119.16 × 6,967
  4. Step 4: Simplify right side
    11,686.36x = 112,302,187.72
  5. Step 5: Solve for x
    x = 112,302,187.72/11,686.36
  6. Step 6: Final answer
    x = 9,609.68

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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.