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Finding the Fourth Proportional to 10,937.94, 16,407.14 and 3,542.38

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Solution

The fourth proportional to 10,937.94, 16,407.14 and 3,542.38 is: 5,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.94 : 16,407.14 = 3,542.38 : x
  2. Step 2: Convert to fraction form
    10,937.94/16,407.14 = 3,542.38/x
  3. Step 3: Cross multiply
    10,937.94x = 16,407.14 × 3,542.38
  4. Step 4: Simplify right side
    10,937.94x = 58,120,324.59
  5. Step 5: Solve for x
    x = 58,120,324.59/10,937.94
  6. Step 6: Final answer
    x = 5,313.64

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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.