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Finding the Fourth Proportional to 11,952.32, 16,506.44 and 8,963.42

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Solution

The fourth proportional to 11,952.32, 16,506.44 and 8,963.42 is: 12,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.32 : 16,506.44 = 8,963.42 : x
  2. Step 2: Convert to fraction form
    11,952.32/16,506.44 = 8,963.42/x
  3. Step 3: Cross multiply
    11,952.32x = 16,506.44 × 8,963.42
  4. Step 4: Simplify right side
    11,952.32x = 147,954,154.42
  5. Step 5: Solve for x
    x = 147,954,154.42/11,952.32
  6. Step 6: Final answer
    x = 12,378.70

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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.