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Finding the Fourth Proportional to 10,021.80, 15,003.90 and 6,133.80

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Solution

The fourth proportional to 10,021.80, 15,003.90 and 6,133.80 is: 9,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.80 : 15,003.90 = 6,133.80 : x
  2. Step 2: Convert to fraction form
    10,021.80/15,003.90 = 6,133.80/x
  3. Step 3: Cross multiply
    10,021.80x = 15,003.90 × 6,133.80
  4. Step 4: Simplify right side
    10,021.80x = 92,030,921.82
  5. Step 5: Solve for x
    x = 92,030,921.82/10,021.80
  6. Step 6: Final answer
    x = 9,183.07

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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.