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Finding the Fourth Proportional to 11,900.80, 17,852.08 and 3,580.14

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Solution

The fourth proportional to 11,900.80, 17,852.08 and 3,580.14 is: 5,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.80 : 17,852.08 = 3,580.14 : x
  2. Step 2: Convert to fraction form
    11,900.80/17,852.08 = 3,580.14/x
  3. Step 3: Cross multiply
    11,900.80x = 17,852.08 × 3,580.14
  4. Step 4: Simplify right side
    11,900.80x = 63,912,945.69
  5. Step 5: Solve for x
    x = 63,912,945.69/11,900.80
  6. Step 6: Final answer
    x = 5,370.47

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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.