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Finding the Fourth Proportional to 8,230.94, 11,358.60 and 4,454.02

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Solution

The fourth proportional to 8,230.94, 11,358.60 and 4,454.02 is: 6,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.94 : 11,358.60 = 4,454.02 : x
  2. Step 2: Convert to fraction form
    8,230.94/11,358.60 = 4,454.02/x
  3. Step 3: Cross multiply
    8,230.94x = 11,358.60 × 4,454.02
  4. Step 4: Simplify right side
    8,230.94x = 50,591,419.88
  5. Step 5: Solve for x
    x = 50,591,419.88/8,230.94
  6. Step 6: Final answer
    x = 6,146.50

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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.