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Finding the Fourth Proportional to 7,282.85, 10,900.78 and 3,768.02

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Solution

The fourth proportional to 7,282.85, 10,900.78 and 3,768.02 is: 5,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.85 : 10,900.78 = 3,768.02 : x
  2. Step 2: Convert to fraction form
    7,282.85/10,900.78 = 3,768.02/x
  3. Step 3: Cross multiply
    7,282.85x = 10,900.78 × 3,768.02
  4. Step 4: Simplify right side
    7,282.85x = 41,074,293.13
  5. Step 5: Solve for x
    x = 41,074,293.13/7,282.85
  6. Step 6: Final answer
    x = 5,639.86

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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.