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Finding the Fourth Proportional to 7,683.94, 11,528.64 and 3,791.08

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Solution

The fourth proportional to 7,683.94, 11,528.64 and 3,791.08 is: 5,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.94 : 11,528.64 = 3,791.08 : x
  2. Step 2: Convert to fraction form
    7,683.94/11,528.64 = 3,791.08/x
  3. Step 3: Cross multiply
    7,683.94x = 11,528.64 × 3,791.08
  4. Step 4: Simplify right side
    7,683.94x = 43,705,967.71
  5. Step 5: Solve for x
    x = 43,705,967.71/7,683.94
  6. Step 6: Final answer
    x = 5,687.97

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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.