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Finding the Fourth Proportional to 10,674.37, 16,013.64 and 4,100.05

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Solution

The fourth proportional to 10,674.37, 16,013.64 and 4,100.05 is: 6,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.37 : 16,013.64 = 4,100.05 : x
  2. Step 2: Convert to fraction form
    10,674.37/16,013.64 = 4,100.05/x
  3. Step 3: Cross multiply
    10,674.37x = 16,013.64 × 4,100.05
  4. Step 4: Simplify right side
    10,674.37x = 65,656,644.61
  5. Step 5: Solve for x
    x = 65,656,644.61/10,674.37
  6. Step 6: Final answer
    x = 6,150.87

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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.