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Finding the Fourth Proportional to 8,241.75, 11,374.22 and 5,099.76

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Solution

The fourth proportional to 8,241.75, 11,374.22 and 5,099.76 is: 7,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.75 : 11,374.22 = 5,099.76 : x
  2. Step 2: Convert to fraction form
    8,241.75/11,374.22 = 5,099.76/x
  3. Step 3: Cross multiply
    8,241.75x = 11,374.22 × 5,099.76
  4. Step 4: Simplify right side
    8,241.75x = 58,005,804.94
  5. Step 5: Solve for x
    x = 58,005,804.94/8,241.75
  6. Step 6: Final answer
    x = 7,038.04

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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.