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Finding the Fourth Proportional to 7,591.94, 10,476.24 and 4,234.50

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Solution

The fourth proportional to 7,591.94, 10,476.24 and 4,234.50 is: 5,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.94 : 10,476.24 = 4,234.50 : x
  2. Step 2: Convert to fraction form
    7,591.94/10,476.24 = 4,234.50/x
  3. Step 3: Cross multiply
    7,591.94x = 10,476.24 × 4,234.50
  4. Step 4: Simplify right side
    7,591.94x = 44,361,638.28
  5. Step 5: Solve for x
    x = 44,361,638.28/7,591.94
  6. Step 6: Final answer
    x = 5,843.25

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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.