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Finding the Fourth Proportional to 7,139.33, 10,708.99 and 3,241

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Solution

The fourth proportional to 7,139.33, 10,708.99 and 3,241 is: 4,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.33 : 10,708.99 = 3,241 : x
  2. Step 2: Convert to fraction form
    7,139.33/10,708.99 = 3,241/x
  3. Step 3: Cross multiply
    7,139.33x = 10,708.99 × 3,241
  4. Step 4: Simplify right side
    7,139.33x = 34,707,836.59
  5. Step 5: Solve for x
    x = 34,707,836.59/7,139.33
  6. Step 6: Final answer
    x = 4,861.50

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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.