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Finding the Fourth Proportional to 8,214.64, 11,329.80 and 7,271.44

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Solution

The fourth proportional to 8,214.64, 11,329.80 and 7,271.44 is: 10,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.64 : 11,329.80 = 7,271.44 : x
  2. Step 2: Convert to fraction form
    8,214.64/11,329.80 = 7,271.44/x
  3. Step 3: Cross multiply
    8,214.64x = 11,329.80 × 7,271.44
  4. Step 4: Simplify right side
    8,214.64x = 82,383,960.91
  5. Step 5: Solve for x
    x = 82,383,960.91/8,214.64
  6. Step 6: Final answer
    x = 10,028.92

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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.