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Finding the Fourth Proportional to 8,140.50, 11,233.89 and 4,414.50

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Solution

The fourth proportional to 8,140.50, 11,233.89 and 4,414.50 is: 6,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.50 : 11,233.89 = 4,414.50 : x
  2. Step 2: Convert to fraction form
    8,140.50/11,233.89 = 4,414.50/x
  3. Step 3: Cross multiply
    8,140.50x = 11,233.89 × 4,414.50
  4. Step 4: Simplify right side
    8,140.50x = 49,592,007.41
  5. Step 5: Solve for x
    x = 49,592,007.41/8,140.50
  6. Step 6: Final answer
    x = 6,092.01

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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.