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Finding the Fourth Proportional to 11,381.22, 15,707.12 and 6,906.11

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Solution

The fourth proportional to 11,381.22, 15,707.12 and 6,906.11 is: 9,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.22 : 15,707.12 = 6,906.11 : x
  2. Step 2: Convert to fraction form
    11,381.22/15,707.12 = 6,906.11/x
  3. Step 3: Cross multiply
    11,381.22x = 15,707.12 × 6,906.11
  4. Step 4: Simplify right side
    11,381.22x = 108,474,985.44
  5. Step 5: Solve for x
    x = 108,474,985.44/11,381.22
  6. Step 6: Final answer
    x = 9,531.05

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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.