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Finding the Fourth Proportional to 8,322.78, 11,465.90 and 5,800.30

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Solution

The fourth proportional to 8,322.78, 11,465.90 and 5,800.30 is: 7,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.78 : 11,465.90 = 5,800.30 : x
  2. Step 2: Convert to fraction form
    8,322.78/11,465.90 = 5,800.30/x
  3. Step 3: Cross multiply
    8,322.78x = 11,465.90 × 5,800.30
  4. Step 4: Simplify right side
    8,322.78x = 66,505,659.77
  5. Step 5: Solve for x
    x = 66,505,659.77/8,322.78
  6. Step 6: Final answer
    x = 7,990.80

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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.