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Finding the Fourth Proportional to 10,500.30, 15,743.97 and 3,923.10

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Solution

The fourth proportional to 10,500.30, 15,743.97 and 3,923.10 is: 5,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.30 : 15,743.97 = 3,923.10 : x
  2. Step 2: Convert to fraction form
    10,500.30/15,743.97 = 3,923.10/x
  3. Step 3: Cross multiply
    10,500.30x = 15,743.97 × 3,923.10
  4. Step 4: Simplify right side
    10,500.30x = 61,765,168.71
  5. Step 5: Solve for x
    x = 61,765,168.71/10,500.30
  6. Step 6: Final answer
    x = 5,882.23

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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.