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Finding the Fourth Proportional to 10,692.63, 16,040.16 and 3,298.95

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Solution

The fourth proportional to 10,692.63, 16,040.16 and 3,298.95 is: 4,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.63 : 16,040.16 = 3,298.95 : x
  2. Step 2: Convert to fraction form
    10,692.63/16,040.16 = 3,298.95/x
  3. Step 3: Cross multiply
    10,692.63x = 16,040.16 × 3,298.95
  4. Step 4: Simplify right side
    10,692.63x = 52,915,685.83
  5. Step 5: Solve for x
    x = 52,915,685.83/10,692.63
  6. Step 6: Final answer
    x = 4,948.80

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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.