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Finding the Fourth Proportional to 7,729.34, 10,666.49 and 4,192.54

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Solution

The fourth proportional to 7,729.34, 10,666.49 and 4,192.54 is: 5,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.34 : 10,666.49 = 4,192.54 : x
  2. Step 2: Convert to fraction form
    7,729.34/10,666.49 = 4,192.54/x
  3. Step 3: Cross multiply
    7,729.34x = 10,666.49 × 4,192.54
  4. Step 4: Simplify right side
    7,729.34x = 44,719,685.98
  5. Step 5: Solve for x
    x = 44,719,685.98/7,729.34
  6. Step 6: Final answer
    x = 5,785.71

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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.