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Finding the Fourth Proportional to 10,884.99, 15,020.24 and 6,105.13

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Solution

The fourth proportional to 10,884.99, 15,020.24 and 6,105.13 is: 8,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.99 : 15,020.24 = 6,105.13 : x
  2. Step 2: Convert to fraction form
    10,884.99/15,020.24 = 6,105.13/x
  3. Step 3: Cross multiply
    10,884.99x = 15,020.24 × 6,105.13
  4. Step 4: Simplify right side
    10,884.99x = 91,700,517.83
  5. Step 5: Solve for x
    x = 91,700,517.83/10,884.99
  6. Step 6: Final answer
    x = 8,424.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.