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Finding the Fourth Proportional to 13,083.36, 18,058.92 and 7,781.40

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Solution

The fourth proportional to 13,083.36, 18,058.92 and 7,781.40 is: 10,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.36 : 18,058.92 = 7,781.40 : x
  2. Step 2: Convert to fraction form
    13,083.36/18,058.92 = 7,781.40/x
  3. Step 3: Cross multiply
    13,083.36x = 18,058.92 × 7,781.40
  4. Step 4: Simplify right side
    13,083.36x = 140,523,680.09
  5. Step 5: Solve for x
    x = 140,523,680.09/13,083.36
  6. Step 6: Final answer
    x = 10,740.64

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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.