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Finding the Fourth Proportional to 7,165.70, 10,744.55 and 5,694.33

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Solution

The fourth proportional to 7,165.70, 10,744.55 and 5,694.33 is: 8,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.70 : 10,744.55 = 5,694.33 : x
  2. Step 2: Convert to fraction form
    7,165.70/10,744.55 = 5,694.33/x
  3. Step 3: Cross multiply
    7,165.70x = 10,744.55 × 5,694.33
  4. Step 4: Simplify right side
    7,165.70x = 61,182,984.93
  5. Step 5: Solve for x
    x = 61,182,984.93/7,165.70
  6. Step 6: Final answer
    x = 8,538.32

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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.