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Finding the Fourth Proportional to 12,113.37, 16,716.78 and 6,808.68

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Solution

The fourth proportional to 12,113.37, 16,716.78 and 6,808.68 is: 9,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.37 : 16,716.78 = 6,808.68 : x
  2. Step 2: Convert to fraction form
    12,113.37/16,716.78 = 6,808.68/x
  3. Step 3: Cross multiply
    12,113.37x = 16,716.78 × 6,808.68
  4. Step 4: Simplify right side
    12,113.37x = 113,819,205.65
  5. Step 5: Solve for x
    x = 113,819,205.65/12,113.37
  6. Step 6: Final answer
    x = 9,396.16

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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.