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Finding the Fourth Proportional to 11,531.80, 17,300.13 and 3,740

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Solution

The fourth proportional to 11,531.80, 17,300.13 and 3,740 is: 5,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.80 : 17,300.13 = 3,740 : x
  2. Step 2: Convert to fraction form
    11,531.80/17,300.13 = 3,740/x
  3. Step 3: Cross multiply
    11,531.80x = 17,300.13 × 3,740
  4. Step 4: Simplify right side
    11,531.80x = 64,702,467.50
  5. Step 5: Solve for x
    x = 64,702,467.50/11,531.80
  6. Step 6: Final answer
    x = 5,610.79

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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.