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Finding the Fourth Proportional to 8,205.63, 12,308.99 and 2,362.29

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Solution

The fourth proportional to 8,205.63, 12,308.99 and 2,362.29 is: 3,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.63 : 12,308.99 = 2,362.29 : x
  2. Step 2: Convert to fraction form
    8,205.63/12,308.99 = 2,362.29/x
  3. Step 3: Cross multiply
    8,205.63x = 12,308.99 × 2,362.29
  4. Step 4: Simplify right side
    8,205.63x = 29,077,392.18
  5. Step 5: Solve for x
    x = 29,077,392.18/8,205.63
  6. Step 6: Final answer
    x = 3,543.59

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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.