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Finding the Fourth Proportional to 7,692.30, 11,533.77 and 3,011.43

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Solution

The fourth proportional to 7,692.30, 11,533.77 and 3,011.43 is: 4,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.30 : 11,533.77 = 3,011.43 : x
  2. Step 2: Convert to fraction form
    7,692.30/11,533.77 = 3,011.43/x
  3. Step 3: Cross multiply
    7,692.30x = 11,533.77 × 3,011.43
  4. Step 4: Simplify right side
    7,692.30x = 34,733,140.99
  5. Step 5: Solve for x
    x = 34,733,140.99/7,692.30
  6. Step 6: Final answer
    x = 4,515.31

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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.