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Finding the Fourth Proportional to 11,732.88, 16,188.84 and 6,954.31

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Solution

The fourth proportional to 11,732.88, 16,188.84 and 6,954.31 is: 9,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.88 : 16,188.84 = 6,954.31 : x
  2. Step 2: Convert to fraction form
    11,732.88/16,188.84 = 6,954.31/x
  3. Step 3: Cross multiply
    11,732.88x = 16,188.84 × 6,954.31
  4. Step 4: Simplify right side
    11,732.88x = 112,582,211.90
  5. Step 5: Solve for x
    x = 112,582,211.90/11,732.88
  6. Step 6: Final answer
    x = 9,595.45

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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.