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Finding the Fourth Proportional to 8,404.26, 12,608.16 and 2,561.32

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Solution

The fourth proportional to 8,404.26, 12,608.16 and 2,561.32 is: 3,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.26 : 12,608.16 = 2,561.32 : x
  2. Step 2: Convert to fraction form
    8,404.26/12,608.16 = 2,561.32/x
  3. Step 3: Cross multiply
    8,404.26x = 12,608.16 × 2,561.32
  4. Step 4: Simplify right side
    8,404.26x = 32,293,538.53
  5. Step 5: Solve for x
    x = 32,293,538.53/8,404.26
  6. Step 6: Final answer
    x = 3,842.52

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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.