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Finding the Fourth Proportional to 7,396.65, 11,086.76 and 3,701.97

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Solution

The fourth proportional to 7,396.65, 11,086.76 and 3,701.97 is: 5,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.65 : 11,086.76 = 3,701.97 : x
  2. Step 2: Convert to fraction form
    7,396.65/11,086.76 = 3,701.97/x
  3. Step 3: Cross multiply
    7,396.65x = 11,086.76 × 3,701.97
  4. Step 4: Simplify right side
    7,396.65x = 41,042,862.17
  5. Step 5: Solve for x
    x = 41,042,862.17/7,396.65
  6. Step 6: Final answer
    x = 5,548.84

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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.