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Finding the Fourth Proportional to 8,233.04, 12,349.20 and 3,612.80

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Solution

The fourth proportional to 8,233.04, 12,349.20 and 3,612.80 is: 5,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.04 : 12,349.20 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    8,233.04/12,349.20 = 3,612.80/x
  3. Step 3: Cross multiply
    8,233.04x = 12,349.20 × 3,612.80
  4. Step 4: Simplify right side
    8,233.04x = 44,615,189.76
  5. Step 5: Solve for x
    x = 44,615,189.76/8,233.04
  6. Step 6: Final answer
    x = 5,419.04

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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.