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Finding the Fourth Proportional to 8,322.72, 11,465.81 and 5,800.25

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Solution

The fourth proportional to 8,322.72, 11,465.81 and 5,800.25 is: 7,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.72 : 11,465.81 = 5,800.25 : x
  2. Step 2: Convert to fraction form
    8,322.72/11,465.81 = 5,800.25/x
  3. Step 3: Cross multiply
    8,322.72x = 11,465.81 × 5,800.25
  4. Step 4: Simplify right side
    8,322.72x = 66,504,478.12
  5. Step 5: Solve for x
    x = 66,504,478.12/8,322.72
  6. Step 6: Final answer
    x = 7,990.71

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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.