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Finding the Fourth Proportional to 8,401.68, 12,598.86 and 2,556.92

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Solution

The fourth proportional to 8,401.68, 12,598.86 and 2,556.92 is: 3,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.68 : 12,598.86 = 2,556.92 : x
  2. Step 2: Convert to fraction form
    8,401.68/12,598.86 = 2,556.92/x
  3. Step 3: Cross multiply
    8,401.68x = 12,598.86 × 2,556.92
  4. Step 4: Simplify right side
    8,401.68x = 32,214,214.12
  5. Step 5: Solve for x
    x = 32,214,214.12/8,401.68
  6. Step 6: Final answer
    x = 3,834.26

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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.