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Finding the Fourth Proportional to 8,402.28, 12,604.04 and 2,558.90

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Solution

The fourth proportional to 8,402.28, 12,604.04 and 2,558.90 is: 3,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.28 : 12,604.04 = 2,558.90 : x
  2. Step 2: Convert to fraction form
    8,402.28/12,604.04 = 2,558.90/x
  3. Step 3: Cross multiply
    8,402.28x = 12,604.04 × 2,558.90
  4. Step 4: Simplify right side
    8,402.28x = 32,252,477.96
  5. Step 5: Solve for x
    x = 32,252,477.96/8,402.28
  6. Step 6: Final answer
    x = 3,838.54

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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.