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Finding the Fourth Proportional to 11,683.16, 17,523.30 and 4,757.72

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Solution

The fourth proportional to 11,683.16, 17,523.30 and 4,757.72 is: 7,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.16 : 17,523.30 = 4,757.72 : x
  2. Step 2: Convert to fraction form
    11,683.16/17,523.30 = 4,757.72/x
  3. Step 3: Cross multiply
    11,683.16x = 17,523.30 × 4,757.72
  4. Step 4: Simplify right side
    11,683.16x = 83,370,954.88
  5. Step 5: Solve for x
    x = 83,370,954.88/11,683.16
  6. Step 6: Final answer
    x = 7,135.99

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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.