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Finding the Fourth Proportional to 11,485.94, 17,233.25 and 7,822.71

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Solution

The fourth proportional to 11,485.94, 17,233.25 and 7,822.71 is: 11,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.94 : 17,233.25 = 7,822.71 : x
  2. Step 2: Convert to fraction form
    11,485.94/17,233.25 = 7,822.71/x
  3. Step 3: Cross multiply
    11,485.94x = 17,233.25 × 7,822.71
  4. Step 4: Simplify right side
    11,485.94x = 134,810,677.99
  5. Step 5: Solve for x
    x = 134,810,677.99/11,485.94
  6. Step 6: Final answer
    x = 11,737.02

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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.