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Finding the Fourth Proportional to 11,672.46, 17,509.76 and 4,650.77

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Solution

The fourth proportional to 11,672.46, 17,509.76 and 4,650.77 is: 6,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.46 : 17,509.76 = 4,650.77 : x
  2. Step 2: Convert to fraction form
    11,672.46/17,509.76 = 4,650.77/x
  3. Step 3: Cross multiply
    11,672.46x = 17,509.76 × 4,650.77
  4. Step 4: Simplify right side
    11,672.46x = 81,433,866.52
  5. Step 5: Solve for x
    x = 81,433,866.52/11,672.46
  6. Step 6: Final answer
    x = 6,976.58

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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.