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Finding the Fourth Proportional to 7,693.41, 11,536.02 and 3,991.92

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Solution

The fourth proportional to 7,693.41, 11,536.02 and 3,991.92 is: 5,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.41 : 11,536.02 = 3,991.92 : x
  2. Step 2: Convert to fraction form
    7,693.41/11,536.02 = 3,991.92/x
  3. Step 3: Cross multiply
    7,693.41x = 11,536.02 × 3,991.92
  4. Step 4: Simplify right side
    7,693.41x = 46,050,825.70
  5. Step 5: Solve for x
    x = 46,050,825.70/7,693.41
  6. Step 6: Final answer
    x = 5,985.75

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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.