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Finding the Fourth Proportional to 11,684.67, 16,126.93 and 6,969.25

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Solution

The fourth proportional to 11,684.67, 16,126.93 and 6,969.25 is: 9,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.67 : 16,126.93 = 6,969.25 : x
  2. Step 2: Convert to fraction form
    11,684.67/16,126.93 = 6,969.25/x
  3. Step 3: Cross multiply
    11,684.67x = 16,126.93 × 6,969.25
  4. Step 4: Simplify right side
    11,684.67x = 112,392,606.90
  5. Step 5: Solve for x
    x = 112,392,606.90/11,684.67
  6. Step 6: Final answer
    x = 9,618.81

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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.