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Finding the Fourth Proportional to 10,937.85, 16,409.37 and 3,542.30

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Solution

The fourth proportional to 10,937.85, 16,409.37 and 3,542.30 is: 5,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.85 : 16,409.37 = 3,542.30 : x
  2. Step 2: Convert to fraction form
    10,937.85/16,409.37 = 3,542.30/x
  3. Step 3: Cross multiply
    10,937.85x = 16,409.37 × 3,542.30
  4. Step 4: Simplify right side
    10,937.85x = 58,126,965.66
  5. Step 5: Solve for x
    x = 58,126,965.66/10,937.85
  6. Step 6: Final answer
    x = 5,314.30

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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.