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Finding the Fourth Proportional to 8,364.28, 11,537.90 and 5,215

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Solution

The fourth proportional to 8,364.28, 11,537.90 and 5,215 is: 7,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.28 : 11,537.90 = 5,215 : x
  2. Step 2: Convert to fraction form
    8,364.28/11,537.90 = 5,215/x
  3. Step 3: Cross multiply
    8,364.28x = 11,537.90 × 5,215
  4. Step 4: Simplify right side
    8,364.28x = 60,170,122.43
  5. Step 5: Solve for x
    x = 60,170,122.43/8,364.28
  6. Step 6: Final answer
    x = 7,193.70

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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.