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Finding the Fourth Proportional to 8,305.25, 11,462.72 and 4,950

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Solution

The fourth proportional to 8,305.25, 11,462.72 and 4,950 is: 6,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.25 : 11,462.72 = 4,950 : x
  2. Step 2: Convert to fraction form
    8,305.25/11,462.72 = 4,950/x
  3. Step 3: Cross multiply
    8,305.25x = 11,462.72 × 4,950
  4. Step 4: Simplify right side
    8,305.25x = 56,740,439.25
  5. Step 5: Solve for x
    x = 56,740,439.25/8,305.25
  6. Step 6: Final answer
    x = 6,831.88

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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.