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Finding the Fourth Proportional to 10,382.40, 15,573.60 and 8,049.60

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Solution

The fourth proportional to 10,382.40, 15,573.60 and 8,049.60 is: 12,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.40 : 15,573.60 = 8,049.60 : x
  2. Step 2: Convert to fraction form
    10,382.40/15,573.60 = 8,049.60/x
  3. Step 3: Cross multiply
    10,382.40x = 15,573.60 × 8,049.60
  4. Step 4: Simplify right side
    10,382.40x = 125,361,250.56
  5. Step 5: Solve for x
    x = 125,361,250.56/10,382.40
  6. Step 6: Final answer
    x = 12,074.40

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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.