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Finding the Fourth Proportional to 12,163.16, 16,785.36 and 6,858.06

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Solution

The fourth proportional to 12,163.16, 16,785.36 and 6,858.06 is: 9,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.16 : 16,785.36 = 6,858.06 : x
  2. Step 2: Convert to fraction form
    12,163.16/16,785.36 = 6,858.06/x
  3. Step 3: Cross multiply
    12,163.16x = 16,785.36 × 6,858.06
  4. Step 4: Simplify right side
    12,163.16x = 115,115,006.00
  5. Step 5: Solve for x
    x = 115,115,006.00/12,163.16
  6. Step 6: Final answer
    x = 9,464.24

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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.