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Finding the Fourth Proportional to 10,399.34, 15,604.41 and 7,949.90

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Solution

The fourth proportional to 10,399.34, 15,604.41 and 7,949.90 is: 11,928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.34 : 15,604.41 = 7,949.90 : x
  2. Step 2: Convert to fraction form
    10,399.34/15,604.41 = 7,949.90/x
  3. Step 3: Cross multiply
    10,399.34x = 15,604.41 × 7,949.90
  4. Step 4: Simplify right side
    10,399.34x = 124,053,499.06
  5. Step 5: Solve for x
    x = 124,053,499.06/10,399.34
  6. Step 6: Final answer
    x = 11,928.98

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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.