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Finding the Fourth Proportional to 7,762.26, 11,638.52 and 5,654.64

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Solution

The fourth proportional to 7,762.26, 11,638.52 and 5,654.64 is: 8,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.26 : 11,638.52 = 5,654.64 : x
  2. Step 2: Convert to fraction form
    7,762.26/11,638.52 = 5,654.64/x
  3. Step 3: Cross multiply
    7,762.26x = 11,638.52 × 5,654.64
  4. Step 4: Simplify right side
    7,762.26x = 65,811,640.73
  5. Step 5: Solve for x
    x = 65,811,640.73/7,762.26
  6. Step 6: Final answer
    x = 8,478.41

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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.