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Finding the Fourth Proportional to 12,093.45, 16,688.67 and 6,788.16

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Solution

The fourth proportional to 12,093.45, 16,688.67 and 6,788.16 is: 9,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.45 : 16,688.67 = 6,788.16 : x
  2. Step 2: Convert to fraction form
    12,093.45/16,688.67 = 6,788.16/x
  3. Step 3: Cross multiply
    12,093.45x = 16,688.67 × 6,788.16
  4. Step 4: Simplify right side
    12,093.45x = 113,285,362.15
  5. Step 5: Solve for x
    x = 113,285,362.15/12,093.45
  6. Step 6: Final answer
    x = 9,367.50

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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.