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Finding the Fourth Proportional to 7,654.50, 11,484.48 and 3,761.64

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Solution

The fourth proportional to 7,654.50, 11,484.48 and 3,761.64 is: 5,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.50 : 11,484.48 = 3,761.64 : x
  2. Step 2: Convert to fraction form
    7,654.50/11,484.48 = 3,761.64/x
  3. Step 3: Cross multiply
    7,654.50x = 11,484.48 × 3,761.64
  4. Step 4: Simplify right side
    7,654.50x = 43,200,493.45
  5. Step 5: Solve for x
    x = 43,200,493.45/7,654.50
  6. Step 6: Final answer
    x = 5,643.80

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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.