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Finding the Fourth Proportional to 8,276.64, 12,414.96 and 2,036.70

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Solution

The fourth proportional to 8,276.64, 12,414.96 and 2,036.70 is: 3,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.64 : 12,414.96 = 2,036.70 : x
  2. Step 2: Convert to fraction form
    8,276.64/12,414.96 = 2,036.70/x
  3. Step 3: Cross multiply
    8,276.64x = 12,414.96 × 2,036.70
  4. Step 4: Simplify right side
    8,276.64x = 25,285,549.03
  5. Step 5: Solve for x
    x = 25,285,549.03/8,276.64
  6. Step 6: Final answer
    x = 3,055.05

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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.