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Finding the Fourth Proportional to 11,698.88, 16,139.02 and 6,728

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Solution

The fourth proportional to 11,698.88, 16,139.02 and 6,728 is: 9,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.88 : 16,139.02 = 6,728 : x
  2. Step 2: Convert to fraction form
    11,698.88/16,139.02 = 6,728/x
  3. Step 3: Cross multiply
    11,698.88x = 16,139.02 × 6,728
  4. Step 4: Simplify right side
    11,698.88x = 108,583,326.56
  5. Step 5: Solve for x
    x = 108,583,326.56/11,698.88
  6. Step 6: Final answer
    x = 9,281.51

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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.