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Finding the Fourth Proportional to 11,649.52, 16,076.80 and 6,682.48

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Solution

The fourth proportional to 11,649.52, 16,076.80 and 6,682.48 is: 9,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.52 : 16,076.80 = 6,682.48 : x
  2. Step 2: Convert to fraction form
    11,649.52/16,076.80 = 6,682.48/x
  3. Step 3: Cross multiply
    11,649.52x = 16,076.80 × 6,682.48
  4. Step 4: Simplify right side
    11,649.52x = 107,432,894.46
  5. Step 5: Solve for x
    x = 107,432,894.46/11,649.52
  6. Step 6: Final answer
    x = 9,222.09

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