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Finding the Fourth Proportional to 10,729.40, 16,096.28 and 3,709.68

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Solution

The fourth proportional to 10,729.40, 16,096.28 and 3,709.68 is: 5,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.40 : 16,096.28 = 3,709.68 : x
  2. Step 2: Convert to fraction form
    10,729.40/16,096.28 = 3,709.68/x
  3. Step 3: Cross multiply
    10,729.40x = 16,096.28 × 3,709.68
  4. Step 4: Simplify right side
    10,729.40x = 59,712,047.99
  5. Step 5: Solve for x
    x = 59,712,047.99/10,729.40
  6. Step 6: Final answer
    x = 5,565.27

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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.