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Finding the Fourth Proportional to 10,966, 16,449.82 and 3,569.90

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Solution

The fourth proportional to 10,966, 16,449.82 and 3,569.90 is: 5,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966 : 16,449.82 = 3,569.90 : x
  2. Step 2: Convert to fraction form
    10,966/16,449.82 = 3,569.90/x
  3. Step 3: Cross multiply
    10,966x = 16,449.82 × 3,569.90
  4. Step 4: Simplify right side
    10,966x = 58,724,212.42
  5. Step 5: Solve for x
    x = 58,724,212.42/10,966
  6. Step 6: Final answer
    x = 5,355.12

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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.