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Finding the Fourth Proportional to 7,735.53, 11,605.61 and 3,056.20

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Solution

The fourth proportional to 7,735.53, 11,605.61 and 3,056.20 is: 4,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.53 : 11,605.61 = 3,056.20 : x
  2. Step 2: Convert to fraction form
    7,735.53/11,605.61 = 3,056.20/x
  3. Step 3: Cross multiply
    7,735.53x = 11,605.61 × 3,056.20
  4. Step 4: Simplify right side
    7,735.53x = 35,469,065.28
  5. Step 5: Solve for x
    x = 35,469,065.28/7,735.53
  6. Step 6: Final answer
    x = 4,585.21

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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.