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Finding the Fourth Proportional to 11,963.32, 16,509.38 and 6,927.80

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Solution

The fourth proportional to 11,963.32, 16,509.38 and 6,927.80 is: 9,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.32 : 16,509.38 = 6,927.80 : x
  2. Step 2: Convert to fraction form
    11,963.32/16,509.38 = 6,927.80/x
  3. Step 3: Cross multiply
    11,963.32x = 16,509.38 × 6,927.80
  4. Step 4: Simplify right side
    11,963.32x = 114,373,682.76
  5. Step 5: Solve for x
    x = 114,373,682.76/11,963.32
  6. Step 6: Final answer
    x = 9,560.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.