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Finding the Fourth Proportional to 11,653.50, 17,475.99 and 4,255.77

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Solution

The fourth proportional to 11,653.50, 17,475.99 and 4,255.77 is: 6,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.50 : 17,475.99 = 4,255.77 : x
  2. Step 2: Convert to fraction form
    11,653.50/17,475.99 = 4,255.77/x
  3. Step 3: Cross multiply
    11,653.50x = 17,475.99 × 4,255.77
  4. Step 4: Simplify right side
    11,653.50x = 74,373,793.96
  5. Step 5: Solve for x
    x = 74,373,793.96/11,653.50
  6. Step 6: Final answer
    x = 6,382.10

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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.