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Finding the Fourth Proportional to 11,323.67, 15,628.11 and 6,847.46

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Solution

The fourth proportional to 11,323.67, 15,628.11 and 6,847.46 is: 9,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.67 : 15,628.11 = 6,847.46 : x
  2. Step 2: Convert to fraction form
    11,323.67/15,628.11 = 6,847.46/x
  3. Step 3: Cross multiply
    11,323.67x = 15,628.11 × 6,847.46
  4. Step 4: Simplify right side
    11,323.67x = 107,012,762.84
  5. Step 5: Solve for x
    x = 107,012,762.84/11,323.67
  6. Step 6: Final answer
    x = 9,450.36

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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.