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Finding the Fourth Proportional to 10,674.63, 16,013.99 and 4,100.30

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Solution

The fourth proportional to 10,674.63, 16,013.99 and 4,100.30 is: 6,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.63 : 16,013.99 = 4,100.30 : x
  2. Step 2: Convert to fraction form
    10,674.63/16,013.99 = 4,100.30/x
  3. Step 3: Cross multiply
    10,674.63x = 16,013.99 × 4,100.30
  4. Step 4: Simplify right side
    10,674.63x = 65,662,163.20
  5. Step 5: Solve for x
    x = 65,662,163.20/10,674.63
  6. Step 6: Final answer
    x = 6,151.24

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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.