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Finding the Fourth Proportional to 10,729.70, 16,096.71 and 3,709.98

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Solution

The fourth proportional to 10,729.70, 16,096.71 and 3,709.98 is: 5,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.70 : 16,096.71 = 3,709.98 : x
  2. Step 2: Convert to fraction form
    10,729.70/16,096.71 = 3,709.98/x
  3. Step 3: Cross multiply
    10,729.70x = 16,096.71 × 3,709.98
  4. Step 4: Simplify right side
    10,729.70x = 59,718,472.17
  5. Step 5: Solve for x
    x = 59,718,472.17/10,729.70
  6. Step 6: Final answer
    x = 5,565.72

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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.