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Finding the Fourth Proportional to 11,770.04, 17,654.64 and 3,004.88

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Solution

The fourth proportional to 11,770.04, 17,654.64 and 3,004.88 is: 4,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.04 : 17,654.64 = 3,004.88 : x
  2. Step 2: Convert to fraction form
    11,770.04/17,654.64 = 3,004.88/x
  3. Step 3: Cross multiply
    11,770.04x = 17,654.64 × 3,004.88
  4. Step 4: Simplify right side
    11,770.04x = 53,050,074.64
  5. Step 5: Solve for x
    x = 53,050,074.64/11,770.04
  6. Step 6: Final answer
    x = 4,507.21

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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.