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Finding the Fourth Proportional to 7,136.97, 10,705.46 and 4,556.31

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Solution

The fourth proportional to 7,136.97, 10,705.46 and 4,556.31 is: 6,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.97 : 10,705.46 = 4,556.31 : x
  2. Step 2: Convert to fraction form
    7,136.97/10,705.46 = 4,556.31/x
  3. Step 3: Cross multiply
    7,136.97x = 10,705.46 × 4,556.31
  4. Step 4: Simplify right side
    7,136.97x = 48,777,371.67
  5. Step 5: Solve for x
    x = 48,777,371.67/7,136.97
  6. Step 6: Final answer
    x = 6,834.47

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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.