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Finding the Fourth Proportional to 7,765.49, 11,643.46 and 3,811.73

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Solution

The fourth proportional to 7,765.49, 11,643.46 and 3,811.73 is: 5,715.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.49 : 11,643.46 = 3,811.73 : x
  2. Step 2: Convert to fraction form
    7,765.49/11,643.46 = 3,811.73/x
  3. Step 3: Cross multiply
    7,765.49x = 11,643.46 × 3,811.73
  4. Step 4: Simplify right side
    7,765.49x = 44,381,679.48
  5. Step 5: Solve for x
    x = 44,381,679.48/7,765.49
  6. Step 6: Final answer
    x = 5,715.25

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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.