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Finding the Fourth Proportional to 11,806.12, 16,274.64 and 9,706.60

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Solution

The fourth proportional to 11,806.12, 16,274.64 and 9,706.60 is: 13,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.12 : 16,274.64 = 9,706.60 : x
  2. Step 2: Convert to fraction form
    11,806.12/16,274.64 = 9,706.60/x
  3. Step 3: Cross multiply
    11,806.12x = 16,274.64 × 9,706.60
  4. Step 4: Simplify right side
    11,806.12x = 157,971,420.62
  5. Step 5: Solve for x
    x = 157,971,420.62/11,806.12
  6. Step 6: Final answer
    x = 13,380.47

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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.