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Finding the Fourth Proportional to 7,797.66, 11,692.03 and 4,636.43

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Solution

The fourth proportional to 7,797.66, 11,692.03 and 4,636.43 is: 6,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.66 : 11,692.03 = 4,636.43 : x
  2. Step 2: Convert to fraction form
    7,797.66/11,692.03 = 4,636.43/x
  3. Step 3: Cross multiply
    7,797.66x = 11,692.03 × 4,636.43
  4. Step 4: Simplify right side
    7,797.66x = 54,209,278.65
  5. Step 5: Solve for x
    x = 54,209,278.65/7,797.66
  6. Step 6: Final answer
    x = 6,951.99

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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.