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Finding the Fourth Proportional to 8,315.89, 11,477.36 and 7,942.21

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Solution

The fourth proportional to 8,315.89, 11,477.36 and 7,942.21 is: 10,961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.89 : 11,477.36 = 7,942.21 : x
  2. Step 2: Convert to fraction form
    8,315.89/11,477.36 = 7,942.21/x
  3. Step 3: Cross multiply
    8,315.89x = 11,477.36 × 7,942.21
  4. Step 4: Simplify right side
    8,315.89x = 91,155,603.37
  5. Step 5: Solve for x
    x = 91,155,603.37/8,315.89
  6. Step 6: Final answer
    x = 10,961.62

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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.