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Finding the Fourth Proportional to 11,765.28, 17,654.90 and 4,748.66

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Solution

The fourth proportional to 11,765.28, 17,654.90 and 4,748.66 is: 7,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.28 : 17,654.90 = 4,748.66 : x
  2. Step 2: Convert to fraction form
    11,765.28/17,654.90 = 4,748.66/x
  3. Step 3: Cross multiply
    11,765.28x = 17,654.90 × 4,748.66
  4. Step 4: Simplify right side
    11,765.28x = 83,837,117.43
  5. Step 5: Solve for x
    x = 83,837,117.43/11,765.28
  6. Step 6: Final answer
    x = 7,125.81

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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.