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Finding the Fourth Proportional to 11,609.80, 17,417.22 and 3,818.44

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Solution

The fourth proportional to 11,609.80, 17,417.22 and 3,818.44 is: 5,728.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.80 : 17,417.22 = 3,818.44 : x
  2. Step 2: Convert to fraction form
    11,609.80/17,417.22 = 3,818.44/x
  3. Step 3: Cross multiply
    11,609.80x = 17,417.22 × 3,818.44
  4. Step 4: Simplify right side
    11,609.80x = 66,506,609.54
  5. Step 5: Solve for x
    x = 66,506,609.54/11,609.80
  6. Step 6: Final answer
    x = 5,728.49

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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.