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Finding the Fourth Proportional to 8,189.52, 11,299.04 and 4,652.72

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Solution

The fourth proportional to 8,189.52, 11,299.04 and 4,652.72 is: 6,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.52 : 11,299.04 = 4,652.72 : x
  2. Step 2: Convert to fraction form
    8,189.52/11,299.04 = 4,652.72/x
  3. Step 3: Cross multiply
    8,189.52x = 11,299.04 × 4,652.72
  4. Step 4: Simplify right side
    8,189.52x = 52,571,269.39
  5. Step 5: Solve for x
    x = 52,571,269.39/8,189.52
  6. Step 6: Final answer
    x = 6,419.33

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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.