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Finding the Fourth Proportional to 11,399.75, 15,729.76 and 7,616.85

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Solution

The fourth proportional to 11,399.75, 15,729.76 and 7,616.85 is: 10,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.75 : 15,729.76 = 7,616.85 : x
  2. Step 2: Convert to fraction form
    11,399.75/15,729.76 = 7,616.85/x
  3. Step 3: Cross multiply
    11,399.75x = 15,729.76 × 7,616.85
  4. Step 4: Simplify right side
    11,399.75x = 119,811,222.46
  5. Step 5: Solve for x
    x = 119,811,222.46/11,399.75
  6. Step 6: Final answer
    x = 10,509.99

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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.