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Finding the Fourth Proportional to 12,146.00, 16,745.85 and 8,158.37

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Solution

The fourth proportional to 12,146.00, 16,745.85 and 8,158.37 is: 11,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.00 : 16,745.85 = 8,158.37 : x
  2. Step 2: Convert to fraction form
    12,146.00/16,745.85 = 8,158.37/x
  3. Step 3: Cross multiply
    12,146.00x = 16,745.85 × 8,158.37
  4. Step 4: Simplify right side
    12,146.00x = 136,618,756.54
  5. Step 5: Solve for x
    x = 136,618,756.54/12,146.00
  6. Step 6: Final answer
    x = 11,248.05

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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.