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Finding the Fourth Proportional to 12,937.37, 19,406.05 and 5,537.03

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Solution

The fourth proportional to 12,937.37, 19,406.05 and 5,537.03 is: 8,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.37 : 19,406.05 = 5,537.03 : x
  2. Step 2: Convert to fraction form
    12,937.37/19,406.05 = 5,537.03/x
  3. Step 3: Cross multiply
    12,937.37x = 19,406.05 × 5,537.03
  4. Step 4: Simplify right side
    12,937.37x = 107,451,756.32
  5. Step 5: Solve for x
    x = 107,451,756.32/12,937.37
  6. Step 6: Final answer
    x = 8,305.54

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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.