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Finding the Fourth Proportional to 6,846.90, 10,264.26 and 2,463.18

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Solution

The fourth proportional to 6,846.90, 10,264.26 and 2,463.18 is: 3,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.90 : 10,264.26 = 2,463.18 : x
  2. Step 2: Convert to fraction form
    6,846.90/10,264.26 = 2,463.18/x
  3. Step 3: Cross multiply
    6,846.90x = 10,264.26 × 2,463.18
  4. Step 4: Simplify right side
    6,846.90x = 25,282,719.95
  5. Step 5: Solve for x
    x = 25,282,719.95/6,846.90
  6. Step 6: Final answer
    x = 3,692.58

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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.