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Finding the Fourth Proportional to 10,969.75, 16,454.82 and 3,574.18

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Solution

The fourth proportional to 10,969.75, 16,454.82 and 3,574.18 is: 5,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.75 : 16,454.82 = 3,574.18 : x
  2. Step 2: Convert to fraction form
    10,969.75/16,454.82 = 3,574.18/x
  3. Step 3: Cross multiply
    10,969.75x = 16,454.82 × 3,574.18
  4. Step 4: Simplify right side
    10,969.75x = 58,812,488.55
  5. Step 5: Solve for x
    x = 58,812,488.55/10,969.75
  6. Step 6: Final answer
    x = 5,361.33

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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.