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Finding the Fourth Proportional to 11,651.63, 17,485.34 and 5,074.02

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Solution

The fourth proportional to 11,651.63, 17,485.34 and 5,074.02 is: 7,614.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.63 : 17,485.34 = 5,074.02 : x
  2. Step 2: Convert to fraction form
    11,651.63/17,485.34 = 5,074.02/x
  3. Step 3: Cross multiply
    11,651.63x = 17,485.34 × 5,074.02
  4. Step 4: Simplify right side
    11,651.63x = 88,720,939.50
  5. Step 5: Solve for x
    x = 88,720,939.50/11,651.63
  6. Step 6: Final answer
    x = 7,614.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.