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Finding the Fourth Proportional to 12,107.93, 16,709.44 and 6,802.73

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Solution

The fourth proportional to 12,107.93, 16,709.44 and 6,802.73 is: 9,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.93 : 16,709.44 = 6,802.73 : x
  2. Step 2: Convert to fraction form
    12,107.93/16,709.44 = 6,802.73/x
  3. Step 3: Cross multiply
    12,107.93x = 16,709.44 × 6,802.73
  4. Step 4: Simplify right side
    12,107.93x = 113,669,877.62
  5. Step 5: Solve for x
    x = 113,669,877.62/12,107.93
  6. Step 6: Final answer
    x = 9,388.05

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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.