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Finding the Fourth Proportional to 8,404.83, 12,609 and 2,858.31

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Solution

The fourth proportional to 8,404.83, 12,609 and 2,858.31 is: 4,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.83 : 12,609 = 2,858.31 : x
  2. Step 2: Convert to fraction form
    8,404.83/12,609 = 2,858.31/x
  3. Step 3: Cross multiply
    8,404.83x = 12,609 × 2,858.31
  4. Step 4: Simplify right side
    8,404.83x = 36,040,430.79
  5. Step 5: Solve for x
    x = 36,040,430.79/8,404.83
  6. Step 6: Final answer
    x = 4,288.06

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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.