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Finding the Fourth Proportional to 13,083.75, 18,058.05 and 7,494.75

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Solution

The fourth proportional to 13,083.75, 18,058.05 and 7,494.75 is: 10,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.75 : 18,058.05 = 7,494.75 : x
  2. Step 2: Convert to fraction form
    13,083.75/18,058.05 = 7,494.75/x
  3. Step 3: Cross multiply
    13,083.75x = 18,058.05 × 7,494.75
  4. Step 4: Simplify right side
    13,083.75x = 135,340,570.24
  5. Step 5: Solve for x
    x = 135,340,570.24/13,083.75
  6. Step 6: Final answer
    x = 10,344.17

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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.