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Finding the Fourth Proportional to 11,649.47, 16,076.07 and 6,344.17

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Solution

The fourth proportional to 11,649.47, 16,076.07 and 6,344.17 is: 8,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.47 : 16,076.07 = 6,344.17 : x
  2. Step 2: Convert to fraction form
    11,649.47/16,076.07 = 6,344.17/x
  3. Step 3: Cross multiply
    11,649.47x = 16,076.07 × 6,344.17
  4. Step 4: Simplify right side
    11,649.47x = 101,989,280.82
  5. Step 5: Solve for x
    x = 101,989,280.82/11,649.47
  6. Step 6: Final answer
    x = 8,754.85

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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.