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Finding the Fourth Proportional to 7,658.82, 11,483.92 and 2,658.86

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Solution

The fourth proportional to 7,658.82, 11,483.92 and 2,658.86 is: 3,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.82 : 11,483.92 = 2,658.86 : x
  2. Step 2: Convert to fraction form
    7,658.82/11,483.92 = 2,658.86/x
  3. Step 3: Cross multiply
    7,658.82x = 11,483.92 × 2,658.86
  4. Step 4: Simplify right side
    7,658.82x = 30,534,124.50
  5. Step 5: Solve for x
    x = 30,534,124.50/7,658.82
  6. Step 6: Final answer
    x = 3,986.79

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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.