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Finding the Fourth Proportional to 11,504.14, 17,280.78 and 8,238.22

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Solution

The fourth proportional to 11,504.14, 17,280.78 and 8,238.22 is: 12,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.14 : 17,280.78 = 8,238.22 : x
  2. Step 2: Convert to fraction form
    11,504.14/17,280.78 = 8,238.22/x
  3. Step 3: Cross multiply
    11,504.14x = 17,280.78 × 8,238.22
  4. Step 4: Simplify right side
    11,504.14x = 142,362,867.41
  5. Step 5: Solve for x
    x = 142,362,867.41/11,504.14
  6. Step 6: Final answer
    x = 12,374.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.