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Finding the Fourth Proportional to 10,772.32, 16,232.12 and 8,867.20

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Solution

The fourth proportional to 10,772.32, 16,232.12 and 8,867.20 is: 13,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.32 : 16,232.12 = 8,867.20 : x
  2. Step 2: Convert to fraction form
    10,772.32/16,232.12 = 8,867.20/x
  3. Step 3: Cross multiply
    10,772.32x = 16,232.12 × 8,867.20
  4. Step 4: Simplify right side
    10,772.32x = 143,933,454.46
  5. Step 5: Solve for x
    x = 143,933,454.46/10,772.32
  6. Step 6: Final answer
    x = 13,361.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.