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Finding the Fourth Proportional to 12,083.29, 16,675.07 and 6,777.99

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Solution

The fourth proportional to 12,083.29, 16,675.07 and 6,777.99 is: 9,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.29 : 16,675.07 = 6,777.99 : x
  2. Step 2: Convert to fraction form
    12,083.29/16,675.07 = 6,777.99/x
  3. Step 3: Cross multiply
    12,083.29x = 16,675.07 × 6,777.99
  4. Step 4: Simplify right side
    12,083.29x = 113,023,423.82
  5. Step 5: Solve for x
    x = 113,023,423.82/12,083.29
  6. Step 6: Final answer
    x = 9,353.70

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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.