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Finding the Fourth Proportional to 8,205.10, 12,306.26 and 2,657.63

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Solution

The fourth proportional to 8,205.10, 12,306.26 and 2,657.63 is: 3,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.10 : 12,306.26 = 2,657.63 : x
  2. Step 2: Convert to fraction form
    8,205.10/12,306.26 = 2,657.63/x
  3. Step 3: Cross multiply
    8,205.10x = 12,306.26 × 2,657.63
  4. Step 4: Simplify right side
    8,205.10x = 32,705,523.17
  5. Step 5: Solve for x
    x = 32,705,523.17/8,205.10
  6. Step 6: Final answer
    x = 3,986.00

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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.