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Finding the Fourth Proportional to 10,430.80, 15,632.34 and 3,850.90

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Solution

The fourth proportional to 10,430.80, 15,632.34 and 3,850.90 is: 5,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.80 : 15,632.34 = 3,850.90 : x
  2. Step 2: Convert to fraction form
    10,430.80/15,632.34 = 3,850.90/x
  3. Step 3: Cross multiply
    10,430.80x = 15,632.34 × 3,850.90
  4. Step 4: Simplify right side
    10,430.80x = 60,198,578.11
  5. Step 5: Solve for x
    x = 60,198,578.11/10,430.80
  6. Step 6: Final answer
    x = 5,771.23

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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.