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Finding the Fourth Proportional to 11,868.66, 17,816.74 and 6,941.84

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Solution

The fourth proportional to 11,868.66, 17,816.74 and 6,941.84 is: 10,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.66 : 17,816.74 = 6,941.84 : x
  2. Step 2: Convert to fraction form
    11,868.66/17,816.74 = 6,941.84/x
  3. Step 3: Cross multiply
    11,868.66x = 17,816.74 × 6,941.84
  4. Step 4: Simplify right side
    11,868.66x = 123,680,958.40
  5. Step 5: Solve for x
    x = 123,680,958.40/11,868.66
  6. Step 6: Final answer
    x = 10,420.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.