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Finding the Fourth Proportional to 11,768.32, 16,237.18 and 6,987

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Solution

The fourth proportional to 11,768.32, 16,237.18 and 6,987 is: 9,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.32 : 16,237.18 = 6,987 : x
  2. Step 2: Convert to fraction form
    11,768.32/16,237.18 = 6,987/x
  3. Step 3: Cross multiply
    11,768.32x = 16,237.18 × 6,987
  4. Step 4: Simplify right side
    11,768.32x = 113,449,176.66
  5. Step 5: Solve for x
    x = 113,449,176.66/11,768.32
  6. Step 6: Final answer
    x = 9,640.22

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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.