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Finding the Fourth Proportional to 12,057.95, 16,640.16 and 6,950.64

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Solution

The fourth proportional to 12,057.95, 16,640.16 and 6,950.64 is: 9,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.95 : 16,640.16 = 6,950.64 : x
  2. Step 2: Convert to fraction form
    12,057.95/16,640.16 = 6,950.64/x
  3. Step 3: Cross multiply
    12,057.95x = 16,640.16 × 6,950.64
  4. Step 4: Simplify right side
    12,057.95x = 115,659,761.70
  5. Step 5: Solve for x
    x = 115,659,761.70/12,057.95
  6. Step 6: Final answer
    x = 9,592.00

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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.