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Finding the Fourth Proportional to 8,402.89, 12,606.15 and 2,559.34

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Solution

The fourth proportional to 8,402.89, 12,606.15 and 2,559.34 is: 3,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.89 : 12,606.15 = 2,559.34 : x
  2. Step 2: Convert to fraction form
    8,402.89/12,606.15 = 2,559.34/x
  3. Step 3: Cross multiply
    8,402.89x = 12,606.15 × 2,559.34
  4. Step 4: Simplify right side
    8,402.89x = 32,263,423.94
  5. Step 5: Solve for x
    x = 32,263,423.94/8,402.89
  6. Step 6: Final answer
    x = 3,839.57

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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.