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Finding the Fourth Proportional to 6,692.46, 10,038.47 and 3,184.99

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Solution

The fourth proportional to 6,692.46, 10,038.47 and 3,184.99 is: 4,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.46 : 10,038.47 = 3,184.99 : x
  2. Step 2: Convert to fraction form
    6,692.46/10,038.47 = 3,184.99/x
  3. Step 3: Cross multiply
    6,692.46x = 10,038.47 × 3,184.99
  4. Step 4: Simplify right side
    6,692.46x = 31,972,385.54
  5. Step 5: Solve for x
    x = 31,972,385.54/6,692.46
  6. Step 6: Final answer
    x = 4,777.38

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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.