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Finding the Fourth Proportional to 10,730.94, 16,092.44 and 3,709.16

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Solution

The fourth proportional to 10,730.94, 16,092.44 and 3,709.16 is: 5,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.94 : 16,092.44 = 3,709.16 : x
  2. Step 2: Convert to fraction form
    10,730.94/16,092.44 = 3,709.16/x
  3. Step 3: Cross multiply
    10,730.94x = 16,092.44 × 3,709.16
  4. Step 4: Simplify right side
    10,730.94x = 59,689,434.75
  5. Step 5: Solve for x
    x = 59,689,434.75/10,730.94
  6. Step 6: Final answer
    x = 5,562.37

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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.