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Finding the Fourth Proportional to 10,982.40, 16,470.40 and 3,961.60

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Solution

The fourth proportional to 10,982.40, 16,470.40 and 3,961.60 is: 5,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.40 : 16,470.40 = 3,961.60 : x
  2. Step 2: Convert to fraction form
    10,982.40/16,470.40 = 3,961.60/x
  3. Step 3: Cross multiply
    10,982.40x = 16,470.40 × 3,961.60
  4. Step 4: Simplify right side
    10,982.40x = 65,249,136.64
  5. Step 5: Solve for x
    x = 65,249,136.64/10,982.40
  6. Step 6: Final answer
    x = 5,941.25

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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.