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Finding the Fourth Proportional to 8,405.10, 12,608.34 and 2,561.76

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Solution

The fourth proportional to 8,405.10, 12,608.34 and 2,561.76 is: 3,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.10 : 12,608.34 = 2,561.76 : x
  2. Step 2: Convert to fraction form
    8,405.10/12,608.34 = 2,561.76/x
  3. Step 3: Cross multiply
    8,405.10x = 12,608.34 × 2,561.76
  4. Step 4: Simplify right side
    8,405.10x = 32,299,541.08
  5. Step 5: Solve for x
    x = 32,299,541.08/8,405.10
  6. Step 6: Final answer
    x = 3,842.85

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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.