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Finding the Fourth Proportional to 6,692.36, 10,038.67 and 3,770.57

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Solution

The fourth proportional to 6,692.36, 10,038.67 and 3,770.57 is: 5,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.36 : 10,038.67 = 3,770.57 : x
  2. Step 2: Convert to fraction form
    6,692.36/10,038.67 = 3,770.57/x
  3. Step 3: Cross multiply
    6,692.36x = 10,038.67 × 3,770.57
  4. Step 4: Simplify right side
    6,692.36x = 37,851,523.61
  5. Step 5: Solve for x
    x = 37,851,523.61/6,692.36
  6. Step 6: Final answer
    x = 5,655.93

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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.