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Finding the Fourth Proportional to 8,232.36, 11,361.72 and 4,695.88

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Solution

The fourth proportional to 8,232.36, 11,361.72 and 4,695.88 is: 6,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.36 : 11,361.72 = 4,695.88 : x
  2. Step 2: Convert to fraction form
    8,232.36/11,361.72 = 4,695.88/x
  3. Step 3: Cross multiply
    8,232.36x = 11,361.72 × 4,695.88
  4. Step 4: Simplify right side
    8,232.36x = 53,353,273.71
  5. Step 5: Solve for x
    x = 53,353,273.71/8,232.36
  6. Step 6: Final answer
    x = 6,480.92

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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.