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Finding the Fourth Proportional to 10,024.85, 15,004.73 and 5,338.19

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Solution

The fourth proportional to 10,024.85, 15,004.73 and 5,338.19 is: 7,989.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.85 : 15,004.73 = 5,338.19 : x
  2. Step 2: Convert to fraction form
    10,024.85/15,004.73 = 5,338.19/x
  3. Step 3: Cross multiply
    10,024.85x = 15,004.73 × 5,338.19
  4. Step 4: Simplify right side
    10,024.85x = 80,097,997.92
  5. Step 5: Solve for x
    x = 80,097,997.92/10,024.85
  6. Step 6: Final answer
    x = 7,989.95

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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.