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Finding the Fourth Proportional to 11,954.16, 16,495.20 and 6,648.56

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Solution

The fourth proportional to 11,954.16, 16,495.20 and 6,648.56 is: 9,174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.16 : 16,495.20 = 6,648.56 : x
  2. Step 2: Convert to fraction form
    11,954.16/16,495.20 = 6,648.56/x
  3. Step 3: Cross multiply
    11,954.16x = 16,495.20 × 6,648.56
  4. Step 4: Simplify right side
    11,954.16x = 109,669,326.91
  5. Step 5: Solve for x
    x = 109,669,326.91/11,954.16
  6. Step 6: Final answer
    x = 9,174.16

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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.