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Finding the Fourth Proportional to 7,763.02, 11,649.30 and 3,082.21

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Solution

The fourth proportional to 7,763.02, 11,649.30 and 3,082.21 is: 4,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.02 : 11,649.30 = 3,082.21 : x
  2. Step 2: Convert to fraction form
    7,763.02/11,649.30 = 3,082.21/x
  3. Step 3: Cross multiply
    7,763.02x = 11,649.30 × 3,082.21
  4. Step 4: Simplify right side
    7,763.02x = 35,905,515.30
  5. Step 5: Solve for x
    x = 35,905,515.30/7,763.02
  6. Step 6: Final answer
    x = 4,625.20

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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.