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Finding the Fourth Proportional to 11,765.32, 16,232.97 and 6,981.29

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Solution

The fourth proportional to 11,765.32, 16,232.97 and 6,981.29 is: 9,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.32 : 16,232.97 = 6,981.29 : x
  2. Step 2: Convert to fraction form
    11,765.32/16,232.97 = 6,981.29/x
  3. Step 3: Cross multiply
    11,765.32x = 16,232.97 × 6,981.29
  4. Step 4: Simplify right side
    11,765.32x = 113,327,077.02
  5. Step 5: Solve for x
    x = 113,327,077.02/11,765.32
  6. Step 6: Final answer
    x = 9,632.30

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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.