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Finding the Fourth Proportional to 8,571.44, 11,826.68 and 5,216

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Solution

The fourth proportional to 8,571.44, 11,826.68 and 5,216 is: 7,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.44 : 11,826.68 = 5,216 : x
  2. Step 2: Convert to fraction form
    8,571.44/11,826.68 = 5,216/x
  3. Step 3: Cross multiply
    8,571.44x = 11,826.68 × 5,216
  4. Step 4: Simplify right side
    8,571.44x = 61,687,962.88
  5. Step 5: Solve for x
    x = 61,687,962.88/8,571.44
  6. Step 6: Final answer
    x = 7,196.92

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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.