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Finding the Fourth Proportional to 7,971.54, 11,952.18 and 3,811.46

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Solution

The fourth proportional to 7,971.54, 11,952.18 and 3,811.46 is: 5,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.54 : 11,952.18 = 3,811.46 : x
  2. Step 2: Convert to fraction form
    7,971.54/11,952.18 = 3,811.46/x
  3. Step 3: Cross multiply
    7,971.54x = 11,952.18 × 3,811.46
  4. Step 4: Simplify right side
    7,971.54x = 45,555,196.22
  5. Step 5: Solve for x
    x = 45,555,196.22/7,971.54
  6. Step 6: Final answer
    x = 5,714.73

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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.