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Finding the Fourth Proportional to 8,231.64, 11,359.74 and 4,695.06

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Solution

The fourth proportional to 8,231.64, 11,359.74 and 4,695.06 is: 6,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.64 : 11,359.74 = 4,695.06 : x
  2. Step 2: Convert to fraction form
    8,231.64/11,359.74 = 4,695.06/x
  3. Step 3: Cross multiply
    8,231.64x = 11,359.74 × 4,695.06
  4. Step 4: Simplify right side
    8,231.64x = 53,334,660.88
  5. Step 5: Solve for x
    x = 53,334,660.88/8,231.64
  6. Step 6: Final answer
    x = 6,479.23

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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.