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Finding the Fourth Proportional to 8,694.12, 11,998.06 and 5,157.66

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Solution

The fourth proportional to 8,694.12, 11,998.06 and 5,157.66 is: 7,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.12 : 11,998.06 = 5,157.66 : x
  2. Step 2: Convert to fraction form
    8,694.12/11,998.06 = 5,157.66/x
  3. Step 3: Cross multiply
    8,694.12x = 11,998.06 × 5,157.66
  4. Step 4: Simplify right side
    8,694.12x = 61,881,914.14
  5. Step 5: Solve for x
    x = 61,881,914.14/8,694.12
  6. Step 6: Final answer
    x = 7,117.67

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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.