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Finding the Fourth Proportional to 7,741.53, 10,692.03 and 5,234.01

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Solution

The fourth proportional to 7,741.53, 10,692.03 and 5,234.01 is: 7,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.53 : 10,692.03 = 5,234.01 : x
  2. Step 2: Convert to fraction form
    7,741.53/10,692.03 = 5,234.01/x
  3. Step 3: Cross multiply
    7,741.53x = 10,692.03 × 5,234.01
  4. Step 4: Simplify right side
    7,741.53x = 55,962,191.94
  5. Step 5: Solve for x
    x = 55,962,191.94/7,741.53
  6. Step 6: Final answer
    x = 7,228.83

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Why These Related Problems?

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