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Finding the Fourth Proportional to 11,997, 16,555.86 and 7,029

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Solution

The fourth proportional to 11,997, 16,555.86 and 7,029 is: 9,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997 : 16,555.86 = 7,029 : x
  2. Step 2: Convert to fraction form
    11,997/16,555.86 = 7,029/x
  3. Step 3: Cross multiply
    11,997x = 16,555.86 × 7,029
  4. Step 4: Simplify right side
    11,997x = 116,371,139.94
  5. Step 5: Solve for x
    x = 116,371,139.94/11,997
  6. Step 6: Final answer
    x = 9,700.02

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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.