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Finding the Fourth Proportional to 12,106.01, 16,705.52 and 6,728.12

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Solution

The fourth proportional to 12,106.01, 16,705.52 and 6,728.12 is: 9,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.01 : 16,705.52 = 6,728.12 : x
  2. Step 2: Convert to fraction form
    12,106.01/16,705.52 = 6,728.12/x
  3. Step 3: Cross multiply
    12,106.01x = 16,705.52 × 6,728.12
  4. Step 4: Simplify right side
    12,106.01x = 112,396,626.05
  5. Step 5: Solve for x
    x = 112,396,626.05/12,106.01
  6. Step 6: Final answer
    x = 9,284.37

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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.