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Finding the Fourth Proportional to 11,632.47, 17,449.11 and 4,613.82

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Solution

The fourth proportional to 11,632.47, 17,449.11 and 4,613.82 is: 6,920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.47 : 17,449.11 = 4,613.82 : x
  2. Step 2: Convert to fraction form
    11,632.47/17,449.11 = 4,613.82/x
  3. Step 3: Cross multiply
    11,632.47x = 17,449.11 × 4,613.82
  4. Step 4: Simplify right side
    11,632.47x = 80,507,052.70
  5. Step 5: Solve for x
    x = 80,507,052.70/11,632.47
  6. Step 6: Final answer
    x = 6,920.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.