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Finding the Fourth Proportional to 8,401.92, 12,602.88 and 3,208.32

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Solution

The fourth proportional to 8,401.92, 12,602.88 and 3,208.32 is: 4,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401.92 : 12,602.88 = 3,208.32 : x
  2. Step 2: Convert to fraction form
    8,401.92/12,602.88 = 3,208.32/x
  3. Step 3: Cross multiply
    8,401.92x = 12,602.88 × 3,208.32
  4. Step 4: Simplify right side
    8,401.92x = 40,434,071.96
  5. Step 5: Solve for x
    x = 40,434,071.96/8,401.92
  6. Step 6: Final answer
    x = 4,812.48

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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.