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Finding the Fourth Proportional to 10,446.93, 15,668.69 and 3,871.58

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Solution

The fourth proportional to 10,446.93, 15,668.69 and 3,871.58 is: 5,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.93 : 15,668.69 = 3,871.58 : x
  2. Step 2: Convert to fraction form
    10,446.93/15,668.69 = 3,871.58/x
  3. Step 3: Cross multiply
    10,446.93x = 15,668.69 × 3,871.58
  4. Step 4: Simplify right side
    10,446.93x = 60,662,489.13
  5. Step 5: Solve for x
    x = 60,662,489.13/10,446.93
  6. Step 6: Final answer
    x = 5,806.73

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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.