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Finding the Fourth Proportional to 8,309.12, 12,466.03 and 3,382.29

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Solution

The fourth proportional to 8,309.12, 12,466.03 and 3,382.29 is: 5,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.12 : 12,466.03 = 3,382.29 : x
  2. Step 2: Convert to fraction form
    8,309.12/12,466.03 = 3,382.29/x
  3. Step 3: Cross multiply
    8,309.12x = 12,466.03 × 3,382.29
  4. Step 4: Simplify right side
    8,309.12x = 42,163,728.61
  5. Step 5: Solve for x
    x = 42,163,728.61/8,309.12
  6. Step 6: Final answer
    x = 5,074.39

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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.