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Finding the Fourth Proportional to 7,166.56, 9,890.32 and 4,022.96

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Solution

The fourth proportional to 7,166.56, 9,890.32 and 4,022.96 is: 5,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.56 : 9,890.32 = 4,022.96 : x
  2. Step 2: Convert to fraction form
    7,166.56/9,890.32 = 4,022.96/x
  3. Step 3: Cross multiply
    7,166.56x = 9,890.32 × 4,022.96
  4. Step 4: Simplify right side
    7,166.56x = 39,788,361.75
  5. Step 5: Solve for x
    x = 39,788,361.75/7,166.56
  6. Step 6: Final answer
    x = 5,551.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.