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Finding the Fourth Proportional to 10,986.60, 16,504.20 and 7,706.10

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Solution

The fourth proportional to 10,986.60, 16,504.20 and 7,706.10 is: 11,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.60 : 16,504.20 = 7,706.10 : x
  2. Step 2: Convert to fraction form
    10,986.60/16,504.20 = 7,706.10/x
  3. Step 3: Cross multiply
    10,986.60x = 16,504.20 × 7,706.10
  4. Step 4: Simplify right side
    10,986.60x = 127,183,015.62
  5. Step 5: Solve for x
    x = 127,183,015.62/10,986.60
  6. Step 6: Final answer
    x = 11,576.19

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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.