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Finding the Fourth Proportional to 8,276.40, 12,414.74 and 2,036.43

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Solution

The fourth proportional to 8,276.40, 12,414.74 and 2,036.43 is: 3,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.40 : 12,414.74 = 2,036.43 : x
  2. Step 2: Convert to fraction form
    8,276.40/12,414.74 = 2,036.43/x
  3. Step 3: Cross multiply
    8,276.40x = 12,414.74 × 2,036.43
  4. Step 4: Simplify right side
    8,276.40x = 25,281,738.80
  5. Step 5: Solve for x
    x = 25,281,738.80/8,276.40
  6. Step 6: Final answer
    x = 3,054.68

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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.