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Finding the Fourth Proportional to 7,855.35, 11,783.00 and 3,692.28

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Solution

The fourth proportional to 7,855.35, 11,783.00 and 3,692.28 is: 5,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.35 : 11,783.00 = 3,692.28 : x
  2. Step 2: Convert to fraction form
    7,855.35/11,783.00 = 3,692.28/x
  3. Step 3: Cross multiply
    7,855.35x = 11,783.00 × 3,692.28
  4. Step 4: Simplify right side
    7,855.35x = 43,506,188.66
  5. Step 5: Solve for x
    x = 43,506,188.66/7,855.35
  6. Step 6: Final answer
    x = 5,538.42

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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.