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Finding the Fourth Proportional to 11,208.70, 16,812.57 and 3,813.10

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Solution

The fourth proportional to 11,208.70, 16,812.57 and 3,813.10 is: 5,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208.70 : 16,812.57 = 3,813.10 : x
  2. Step 2: Convert to fraction form
    11,208.70/16,812.57 = 3,813.10/x
  3. Step 3: Cross multiply
    11,208.70x = 16,812.57 × 3,813.10
  4. Step 4: Simplify right side
    11,208.70x = 64,108,010.67
  5. Step 5: Solve for x
    x = 64,108,010.67/11,208.70
  6. Step 6: Final answer
    x = 5,719.49

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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.