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Finding the Fourth Proportional to 8,405.07, 12,609.62 and 2,561.32

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Solution

The fourth proportional to 8,405.07, 12,609.62 and 2,561.32 is: 3,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.07 : 12,609.62 = 2,561.32 : x
  2. Step 2: Convert to fraction form
    8,405.07/12,609.62 = 2,561.32/x
  3. Step 3: Cross multiply
    8,405.07x = 12,609.62 × 2,561.32
  4. Step 4: Simplify right side
    8,405.07x = 32,297,271.90
  5. Step 5: Solve for x
    x = 32,297,271.90/8,405.07
  6. Step 6: Final answer
    x = 3,842.59

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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.