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Finding the Fourth Proportional to 8,240.64, 12,362.55 and 2,692.49

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Solution

The fourth proportional to 8,240.64, 12,362.55 and 2,692.49 is: 4,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.64 : 12,362.55 = 2,692.49 : x
  2. Step 2: Convert to fraction form
    8,240.64/12,362.55 = 2,692.49/x
  3. Step 3: Cross multiply
    8,240.64x = 12,362.55 × 2,692.49
  4. Step 4: Simplify right side
    8,240.64x = 33,285,970.34
  5. Step 5: Solve for x
    x = 33,285,970.34/8,240.64
  6. Step 6: Final answer
    x = 4,039.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.