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Finding the Fourth Proportional to 7,692.43, 11,533.72 and 3,248.89

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Solution

The fourth proportional to 7,692.43, 11,533.72 and 3,248.89 is: 4,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.43 : 11,533.72 = 3,248.89 : x
  2. Step 2: Convert to fraction form
    7,692.43/11,533.72 = 3,248.89/x
  3. Step 3: Cross multiply
    7,692.43x = 11,533.72 × 3,248.89
  4. Step 4: Simplify right side
    7,692.43x = 37,471,830.82
  5. Step 5: Solve for x
    x = 37,471,830.82/7,692.43
  6. Step 6: Final answer
    x = 4,871.26

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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.