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Finding the Fourth Proportional to 10,563.70, 15,847.94 and 3,544.09

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Solution

The fourth proportional to 10,563.70, 15,847.94 and 3,544.09 is: 5,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.70 : 15,847.94 = 3,544.09 : x
  2. Step 2: Convert to fraction form
    10,563.70/15,847.94 = 3,544.09/x
  3. Step 3: Cross multiply
    10,563.70x = 15,847.94 × 3,544.09
  4. Step 4: Simplify right side
    10,563.70x = 56,166,525.67
  5. Step 5: Solve for x
    x = 56,166,525.67/10,563.70
  6. Step 6: Final answer
    x = 5,316.94

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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.