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Finding the Fourth Proportional to 8,561.56, 12,842.28 and 2,405.56

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Solution

The fourth proportional to 8,561.56, 12,842.28 and 2,405.56 is: 3,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.56 : 12,842.28 = 2,405.56 : x
  2. Step 2: Convert to fraction form
    8,561.56/12,842.28 = 2,405.56/x
  3. Step 3: Cross multiply
    8,561.56x = 12,842.28 × 2,405.56
  4. Step 4: Simplify right side
    8,561.56x = 30,892,875.08
  5. Step 5: Solve for x
    x = 30,892,875.08/8,561.56
  6. Step 6: Final answer
    x = 3,608.32

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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.