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Finding the Fourth Proportional to 12,311.25, 18,451.47 and 5,282.97

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Solution

The fourth proportional to 12,311.25, 18,451.47 and 5,282.97 is: 7,917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.25 : 18,451.47 = 5,282.97 : x
  2. Step 2: Convert to fraction form
    12,311.25/18,451.47 = 5,282.97/x
  3. Step 3: Cross multiply
    12,311.25x = 18,451.47 × 5,282.97
  4. Step 4: Simplify right side
    12,311.25x = 97,478,562.47
  5. Step 5: Solve for x
    x = 97,478,562.47/12,311.25
  6. Step 6: Final answer
    x = 7,917.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.