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Finding the Fourth Proportional to 11,364.64, 15,687.48 and 6,650.44

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Solution

The fourth proportional to 11,364.64, 15,687.48 and 6,650.44 is: 9,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.64 : 15,687.48 = 6,650.44 : x
  2. Step 2: Convert to fraction form
    11,364.64/15,687.48 = 6,650.44/x
  3. Step 3: Cross multiply
    11,364.64x = 15,687.48 × 6,650.44
  4. Step 4: Simplify right side
    11,364.64x = 104,328,644.49
  5. Step 5: Solve for x
    x = 104,328,644.49/11,364.64
  6. Step 6: Final answer
    x = 9,180.11

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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.