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Finding the Fourth Proportional to 11,750.74, 17,632.30 and 5,181.46

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Solution

The fourth proportional to 11,750.74, 17,632.30 and 5,181.46 is: 7,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.74 : 17,632.30 = 5,181.46 : x
  2. Step 2: Convert to fraction form
    11,750.74/17,632.30 = 5,181.46/x
  3. Step 3: Cross multiply
    11,750.74x = 17,632.30 × 5,181.46
  4. Step 4: Simplify right side
    11,750.74x = 91,361,057.16
  5. Step 5: Solve for x
    x = 91,361,057.16/11,750.74
  6. Step 6: Final answer
    x = 7,774.92

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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.