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Finding the Fourth Proportional to 8,379.86, 11,563.89 and 4,654.10

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Solution

The fourth proportional to 8,379.86, 11,563.89 and 4,654.10 is: 6,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.86 : 11,563.89 = 4,654.10 : x
  2. Step 2: Convert to fraction form
    8,379.86/11,563.89 = 4,654.10/x
  3. Step 3: Cross multiply
    8,379.86x = 11,563.89 × 4,654.10
  4. Step 4: Simplify right side
    8,379.86x = 53,819,500.45
  5. Step 5: Solve for x
    x = 53,819,500.45/8,379.86
  6. Step 6: Final answer
    x = 6,422.48

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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.