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Finding the Fourth Proportional to 6,996.94, 10,481.72 and 3,705.50

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Solution

The fourth proportional to 6,996.94, 10,481.72 and 3,705.50 is: 5,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.94 : 10,481.72 = 3,705.50 : x
  2. Step 2: Convert to fraction form
    6,996.94/10,481.72 = 3,705.50/x
  3. Step 3: Cross multiply
    6,996.94x = 10,481.72 × 3,705.50
  4. Step 4: Simplify right side
    6,996.94x = 38,840,013.46
  5. Step 5: Solve for x
    x = 38,840,013.46/6,996.94
  6. Step 6: Final answer
    x = 5,551.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.