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Finding the Fourth Proportional to 7,235.75, 10,853.64 and 1,763.75

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Solution

The fourth proportional to 7,235.75, 10,853.64 and 1,763.75 is: 2,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.75 : 10,853.64 = 1,763.75 : x
  2. Step 2: Convert to fraction form
    7,235.75/10,853.64 = 1,763.75/x
  3. Step 3: Cross multiply
    7,235.75x = 10,853.64 × 1,763.75
  4. Step 4: Simplify right side
    7,235.75x = 19,143,107.55
  5. Step 5: Solve for x
    x = 19,143,107.55/7,235.75
  6. Step 6: Final answer
    x = 2,645.63

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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.