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Finding the Fourth Proportional to 10,847.80, 16,267.65 and 3,825.10

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Solution

The fourth proportional to 10,847.80, 16,267.65 and 3,825.10 is: 5,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.80 : 16,267.65 = 3,825.10 : x
  2. Step 2: Convert to fraction form
    10,847.80/16,267.65 = 3,825.10/x
  3. Step 3: Cross multiply
    10,847.80x = 16,267.65 × 3,825.10
  4. Step 4: Simplify right side
    10,847.80x = 62,225,388.02
  5. Step 5: Solve for x
    x = 62,225,388.02/10,847.80
  6. Step 6: Final answer
    x = 5,736.22

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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.