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Finding the Fourth Proportional to 10,986.40, 16,476.40 and 3,965.60

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Solution

The fourth proportional to 10,986.40, 16,476.40 and 3,965.60 is: 5,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.40 : 16,476.40 = 3,965.60 : x
  2. Step 2: Convert to fraction form
    10,986.40/16,476.40 = 3,965.60/x
  3. Step 3: Cross multiply
    10,986.40x = 16,476.40 × 3,965.60
  4. Step 4: Simplify right side
    10,986.40x = 65,338,811.84
  5. Step 5: Solve for x
    x = 65,338,811.84/10,986.40
  6. Step 6: Final answer
    x = 5,947.24

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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.