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Finding the Fourth Proportional to 8,353.09, 12,500.63 and 5,189.23

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Solution

The fourth proportional to 8,353.09, 12,500.63 and 5,189.23 is: 7,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.09 : 12,500.63 = 5,189.23 : x
  2. Step 2: Convert to fraction form
    8,353.09/12,500.63 = 5,189.23/x
  3. Step 3: Cross multiply
    8,353.09x = 12,500.63 × 5,189.23
  4. Step 4: Simplify right side
    8,353.09x = 64,868,653.35
  5. Step 5: Solve for x
    x = 64,868,653.35/8,353.09
  6. Step 6: Final answer
    x = 7,765.83

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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.