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Finding the Fourth Proportional to 11,148.57, 16,722.85 and 2,829.21

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Solution

The fourth proportional to 11,148.57, 16,722.85 and 2,829.21 is: 4,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148.57 : 16,722.85 = 2,829.21 : x
  2. Step 2: Convert to fraction form
    11,148.57/16,722.85 = 2,829.21/x
  3. Step 3: Cross multiply
    11,148.57x = 16,722.85 × 2,829.21
  4. Step 4: Simplify right side
    11,148.57x = 47,312,363.76
  5. Step 5: Solve for x
    x = 47,312,363.76/11,148.57
  6. Step 6: Final answer
    x = 4,243.81

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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.