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Finding the Fourth Proportional to 8,270.88, 11,414.04 and 4,735.24

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Solution

The fourth proportional to 8,270.88, 11,414.04 and 4,735.24 is: 6,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.88 : 11,414.04 = 4,735.24 : x
  2. Step 2: Convert to fraction form
    8,270.88/11,414.04 = 4,735.24/x
  3. Step 3: Cross multiply
    8,270.88x = 11,414.04 × 4,735.24
  4. Step 4: Simplify right side
    8,270.88x = 54,048,218.77
  5. Step 5: Solve for x
    x = 54,048,218.77/8,270.88
  6. Step 6: Final answer
    x = 6,534.76

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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.