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Finding the Fourth Proportional to 11,976.40, 16,487.46 and 8,987.32

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Solution

The fourth proportional to 11,976.40, 16,487.46 and 8,987.32 is: 12,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.40 : 16,487.46 = 8,987.32 : x
  2. Step 2: Convert to fraction form
    11,976.40/16,487.46 = 8,987.32/x
  3. Step 3: Cross multiply
    11,976.40x = 16,487.46 × 8,987.32
  4. Step 4: Simplify right side
    11,976.40x = 148,178,079.01
  5. Step 5: Solve for x
    x = 148,178,079.01/11,976.40
  6. Step 6: Final answer
    x = 12,372.51

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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.