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Finding the Fourth Proportional to 11,954.48, 16,495.28 and 6,649.28

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Solution

The fourth proportional to 11,954.48, 16,495.28 and 6,649.28 is: 9,174.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.48 : 16,495.28 = 6,649.28 : x
  2. Step 2: Convert to fraction form
    11,954.48/16,495.28 = 6,649.28/x
  3. Step 3: Cross multiply
    11,954.48x = 16,495.28 × 6,649.28
  4. Step 4: Simplify right side
    11,954.48x = 109,681,735.40
  5. Step 5: Solve for x
    x = 109,681,735.40/11,954.48
  6. Step 6: Final answer
    x = 9,174.95

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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.