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Finding the Fourth Proportional to 7,992.75, 11,030.38 and 4,455.96

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Solution

The fourth proportional to 7,992.75, 11,030.38 and 4,455.96 is: 6,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.75 : 11,030.38 = 4,455.96 : x
  2. Step 2: Convert to fraction form
    7,992.75/11,030.38 = 4,455.96/x
  3. Step 3: Cross multiply
    7,992.75x = 11,030.38 × 4,455.96
  4. Step 4: Simplify right side
    7,992.75x = 49,150,909.79
  5. Step 5: Solve for x
    x = 49,150,909.79/7,992.75
  6. Step 6: Final answer
    x = 6,149.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.