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Finding the Fourth Proportional to 11,963.51, 16,532.42 and 8,974.16

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Solution

The fourth proportional to 11,963.51, 16,532.42 and 8,974.16 is: 12,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.51 : 16,532.42 = 8,974.16 : x
  2. Step 2: Convert to fraction form
    11,963.51/16,532.42 = 8,974.16/x
  3. Step 3: Cross multiply
    11,963.51x = 16,532.42 × 8,974.16
  4. Step 4: Simplify right side
    11,963.51x = 148,364,499.61
  5. Step 5: Solve for x
    x = 148,364,499.61/11,963.51
  6. Step 6: Final answer
    x = 12,401.42

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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.