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Finding the Fourth Proportional to 8,402.75, 12,606.01 and 2,559.82

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Solution

The fourth proportional to 8,402.75, 12,606.01 and 2,559.82 is: 3,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.75 : 12,606.01 = 2,559.82 : x
  2. Step 2: Convert to fraction form
    8,402.75/12,606.01 = 2,559.82/x
  3. Step 3: Cross multiply
    8,402.75x = 12,606.01 × 2,559.82
  4. Step 4: Simplify right side
    8,402.75x = 32,269,116.52
  5. Step 5: Solve for x
    x = 32,269,116.52/8,402.75
  6. Step 6: Final answer
    x = 3,840.30

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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.