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Finding the Fourth Proportional to 7,719, 11,577 and 3,766.28

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Solution

The fourth proportional to 7,719, 11,577 and 3,766.28 is: 5,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719 : 11,577 = 3,766.28 : x
  2. Step 2: Convert to fraction form
    7,719/11,577 = 3,766.28/x
  3. Step 3: Cross multiply
    7,719x = 11,577 × 3,766.28
  4. Step 4: Simplify right side
    7,719x = 43,602,223.56
  5. Step 5: Solve for x
    x = 43,602,223.56/7,719
  6. Step 6: Final answer
    x = 5,648.69

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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.