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Finding the Fourth Proportional to 8,271, 11,419.26 and 5,752.20

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Solution

The fourth proportional to 8,271, 11,419.26 and 5,752.20 is: 7,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 11,419.26 = 5,752.20 : x
  2. Step 2: Convert to fraction form
    8,271/11,419.26 = 5,752.20/x
  3. Step 3: Cross multiply
    8,271x = 11,419.26 × 5,752.20
  4. Step 4: Simplify right side
    8,271x = 65,685,867.37
  5. Step 5: Solve for x
    x = 65,685,867.37/8,271
  6. Step 6: Final answer
    x = 7,941.71

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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.