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Finding the Fourth Proportional to 8,385.68, 11,584.03 and 7,942.81

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Solution

The fourth proportional to 8,385.68, 11,584.03 and 7,942.81 is: 10,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.68 : 11,584.03 = 7,942.81 : x
  2. Step 2: Convert to fraction form
    8,385.68/11,584.03 = 7,942.81/x
  3. Step 3: Cross multiply
    8,385.68x = 11,584.03 × 7,942.81
  4. Step 4: Simplify right side
    8,385.68x = 92,009,737.12
  5. Step 5: Solve for x
    x = 92,009,737.12/8,385.68
  6. Step 6: Final answer
    x = 10,972.25

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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.