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Finding the Fourth Proportional to 10,729.92, 16,097.04 and 3,710.19

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Solution

The fourth proportional to 10,729.92, 16,097.04 and 3,710.19 is: 5,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.92 : 16,097.04 = 3,710.19 : x
  2. Step 2: Convert to fraction form
    10,729.92/16,097.04 = 3,710.19/x
  3. Step 3: Cross multiply
    10,729.92x = 16,097.04 × 3,710.19
  4. Step 4: Simplify right side
    10,729.92x = 59,723,076.84
  5. Step 5: Solve for x
    x = 59,723,076.84/10,729.92
  6. Step 6: Final answer
    x = 5,566.03

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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.