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Finding the Fourth Proportional to 7,381.46, 11,069.77 and 2,449.77

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Solution

The fourth proportional to 7,381.46, 11,069.77 and 2,449.77 is: 3,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.46 : 11,069.77 = 2,449.77 : x
  2. Step 2: Convert to fraction form
    7,381.46/11,069.77 = 2,449.77/x
  3. Step 3: Cross multiply
    7,381.46x = 11,069.77 × 2,449.77
  4. Step 4: Simplify right side
    7,381.46x = 27,118,390.45
  5. Step 5: Solve for x
    x = 27,118,390.45/7,381.46
  6. Step 6: Final answer
    x = 3,673.85

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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.