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Finding the Fourth Proportional to 11,649.12, 16,076.52 and 8,825.04

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Solution

The fourth proportional to 11,649.12, 16,076.52 and 8,825.04 is: 12,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.12 : 16,076.52 = 8,825.04 : x
  2. Step 2: Convert to fraction form
    11,649.12/16,076.52 = 8,825.04/x
  3. Step 3: Cross multiply
    11,649.12x = 16,076.52 × 8,825.04
  4. Step 4: Simplify right side
    11,649.12x = 141,875,932.06
  5. Step 5: Solve for x
    x = 141,875,932.06/11,649.12
  6. Step 6: Final answer
    x = 12,179.11

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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.