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Finding the Fourth Proportional to 7,692.37, 11,533.63 and 3,248.83

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Solution

The fourth proportional to 7,692.37, 11,533.63 and 3,248.83 is: 4,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.37 : 11,533.63 = 3,248.83 : x
  2. Step 2: Convert to fraction form
    7,692.37/11,533.63 = 3,248.83/x
  3. Step 3: Cross multiply
    7,692.37x = 11,533.63 × 3,248.83
  4. Step 4: Simplify right side
    7,692.37x = 37,470,806.40
  5. Step 5: Solve for x
    x = 37,470,806.40/7,692.37
  6. Step 6: Final answer
    x = 4,871.17

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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.