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Finding the Fourth Proportional to 8,243.40, 11,374.08 and 5,257.96

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Solution

The fourth proportional to 8,243.40, 11,374.08 and 5,257.96 is: 7,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.40 : 11,374.08 = 5,257.96 : x
  2. Step 2: Convert to fraction form
    8,243.40/11,374.08 = 5,257.96/x
  3. Step 3: Cross multiply
    8,243.40x = 11,374.08 × 5,257.96
  4. Step 4: Simplify right side
    8,243.40x = 59,804,457.68
  5. Step 5: Solve for x
    x = 59,804,457.68/8,243.40
  6. Step 6: Final answer
    x = 7,254.83

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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.