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Finding the Fourth Proportional to 12,083.48, 16,674.90 and 6,778.20

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Solution

The fourth proportional to 12,083.48, 16,674.90 and 6,778.20 is: 9,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.48 : 16,674.90 = 6,778.20 : x
  2. Step 2: Convert to fraction form
    12,083.48/16,674.90 = 6,778.20/x
  3. Step 3: Cross multiply
    12,083.48x = 16,674.90 × 6,778.20
  4. Step 4: Simplify right side
    12,083.48x = 113,025,807.18
  5. Step 5: Solve for x
    x = 113,025,807.18/12,083.48
  6. Step 6: Final answer
    x = 9,353.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.