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Finding the Fourth Proportional to 8,204.94, 12,308.61 and 2,656.44

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Solution

The fourth proportional to 8,204.94, 12,308.61 and 2,656.44 is: 3,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.94 : 12,308.61 = 2,656.44 : x
  2. Step 2: Convert to fraction form
    8,204.94/12,308.61 = 2,656.44/x
  3. Step 3: Cross multiply
    8,204.94x = 12,308.61 × 2,656.44
  4. Step 4: Simplify right side
    8,204.94x = 32,697,083.95
  5. Step 5: Solve for x
    x = 32,697,083.95/8,204.94
  6. Step 6: Final answer
    x = 3,985.05

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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.