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Finding the Fourth Proportional to 8,544.29, 12,821.29 and 3,353.81

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Solution

The fourth proportional to 8,544.29, 12,821.29 and 3,353.81 is: 5,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.29 : 12,821.29 = 3,353.81 : x
  2. Step 2: Convert to fraction form
    8,544.29/12,821.29 = 3,353.81/x
  3. Step 3: Cross multiply
    8,544.29x = 12,821.29 × 3,353.81
  4. Step 4: Simplify right side
    8,544.29x = 43,000,098.12
  5. Step 5: Solve for x
    x = 43,000,098.12/8,544.29
  6. Step 6: Final answer
    x = 5,032.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.