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Finding the Fourth Proportional to 10,728.24, 16,093.20 and 3,711.60

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Solution

The fourth proportional to 10,728.24, 16,093.20 and 3,711.60 is: 5,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.24 : 16,093.20 = 3,711.60 : x
  2. Step 2: Convert to fraction form
    10,728.24/16,093.20 = 3,711.60/x
  3. Step 3: Cross multiply
    10,728.24x = 16,093.20 × 3,711.60
  4. Step 4: Simplify right side
    10,728.24x = 59,731,521.12
  5. Step 5: Solve for x
    x = 59,731,521.12/10,728.24
  6. Step 6: Final answer
    x = 5,567.69

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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.