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Finding the Fourth Proportional to 7,692.23, 11,517.80 and 4,903.80

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Solution

The fourth proportional to 7,692.23, 11,517.80 and 4,903.80 is: 7,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.23 : 11,517.80 = 4,903.80 : x
  2. Step 2: Convert to fraction form
    7,692.23/11,517.80 = 4,903.80/x
  3. Step 3: Cross multiply
    7,692.23x = 11,517.80 × 4,903.80
  4. Step 4: Simplify right side
    7,692.23x = 56,480,963.12
  5. Step 5: Solve for x
    x = 56,480,963.12/7,692.23
  6. Step 6: Final answer
    x = 7,342.60

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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.