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Finding the Fourth Proportional to 7,125.70, 10,692.57 and 3,838.72

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Solution

The fourth proportional to 7,125.70, 10,692.57 and 3,838.72 is: 5,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.70 : 10,692.57 = 3,838.72 : x
  2. Step 2: Convert to fraction form
    7,125.70/10,692.57 = 3,838.72/x
  3. Step 3: Cross multiply
    7,125.70x = 10,692.57 × 3,838.72
  4. Step 4: Simplify right side
    7,125.70x = 41,045,782.31
  5. Step 5: Solve for x
    x = 41,045,782.31/7,125.70
  6. Step 6: Final answer
    x = 5,760.25

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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.