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Finding the Fourth Proportional to 10,761.35, 16,138.35 and 3,739.50

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Solution

The fourth proportional to 10,761.35, 16,138.35 and 3,739.50 is: 5,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.35 : 16,138.35 = 3,739.50 : x
  2. Step 2: Convert to fraction form
    10,761.35/16,138.35 = 3,739.50/x
  3. Step 3: Cross multiply
    10,761.35x = 16,138.35 × 3,739.50
  4. Step 4: Simplify right side
    10,761.35x = 60,349,359.83
  5. Step 5: Solve for x
    x = 60,349,359.83/10,761.35
  6. Step 6: Final answer
    x = 5,607.98

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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.