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Finding the Fourth Proportional to 7,763.36, 11,645.01 and 3,380.30

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Solution

The fourth proportional to 7,763.36, 11,645.01 and 3,380.30 is: 5,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.36 : 11,645.01 = 3,380.30 : x
  2. Step 2: Convert to fraction form
    7,763.36/11,645.01 = 3,380.30/x
  3. Step 3: Cross multiply
    7,763.36x = 11,645.01 × 3,380.30
  4. Step 4: Simplify right side
    7,763.36x = 39,363,627.30
  5. Step 5: Solve for x
    x = 39,363,627.30/7,763.36
  6. Step 6: Final answer
    x = 5,070.44

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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.