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Finding the Fourth Proportional to 10,825.99, 14,940.96 and 6,847.47

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Solution

The fourth proportional to 10,825.99, 14,940.96 and 6,847.47 is: 9,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.99 : 14,940.96 = 6,847.47 : x
  2. Step 2: Convert to fraction form
    10,825.99/14,940.96 = 6,847.47/x
  3. Step 3: Cross multiply
    10,825.99x = 14,940.96 × 6,847.47
  4. Step 4: Simplify right side
    10,825.99x = 102,307,749.69
  5. Step 5: Solve for x
    x = 102,307,749.69/10,825.99
  6. Step 6: Final answer
    x = 9,450.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.