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Finding the Fourth Proportional to 7,709.43, 11,553.43 and 4,329.23

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Solution

The fourth proportional to 7,709.43, 11,553.43 and 4,329.23 is: 6,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.43 : 11,553.43 = 4,329.23 : x
  2. Step 2: Convert to fraction form
    7,709.43/11,553.43 = 4,329.23/x
  3. Step 3: Cross multiply
    7,709.43x = 11,553.43 × 4,329.23
  4. Step 4: Simplify right side
    7,709.43x = 50,017,492.27
  5. Step 5: Solve for x
    x = 50,017,492.27/7,709.43
  6. Step 6: Final answer
    x = 6,487.83

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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.