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Finding the Fourth Proportional to 10,106.82, 13,953.20 and 6,755.31

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Solution

The fourth proportional to 10,106.82, 13,953.20 and 6,755.31 is: 9,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.82 : 13,953.20 = 6,755.31 : x
  2. Step 2: Convert to fraction form
    10,106.82/13,953.20 = 6,755.31/x
  3. Step 3: Cross multiply
    10,106.82x = 13,953.20 × 6,755.31
  4. Step 4: Simplify right side
    10,106.82x = 94,258,157.72
  5. Step 5: Solve for x
    x = 94,258,157.72/10,106.82
  6. Step 6: Final answer
    x = 9,326.19

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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.