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Finding the Fourth Proportional to 7,166.51, 9,889.81 and 4,022.69

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Solution

The fourth proportional to 7,166.51, 9,889.81 and 4,022.69 is: 5,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.51 : 9,889.81 = 4,022.69 : x
  2. Step 2: Convert to fraction form
    7,166.51/9,889.81 = 4,022.69/x
  3. Step 3: Cross multiply
    7,166.51x = 9,889.81 × 4,022.69
  4. Step 4: Simplify right side
    7,166.51x = 39,783,639.79
  5. Step 5: Solve for x
    x = 39,783,639.79/7,166.51
  6. Step 6: Final answer
    x = 5,551.33

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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.