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Finding the Fourth Proportional to 11,765.17, 17,643.84 and 4,743.37

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Solution

The fourth proportional to 11,765.17, 17,643.84 and 4,743.37 is: 7,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.17 : 17,643.84 = 4,743.37 : x
  2. Step 2: Convert to fraction form
    11,765.17/17,643.84 = 4,743.37/x
  3. Step 3: Cross multiply
    11,765.17x = 17,643.84 × 4,743.37
  4. Step 4: Simplify right side
    11,765.17x = 83,691,261.34
  5. Step 5: Solve for x
    x = 83,691,261.34/11,765.17
  6. Step 6: Final answer
    x = 7,113.48

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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.