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Finding the Fourth Proportional to 8,157.83, 12,238.27 and 2,609.68

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Solution

The fourth proportional to 8,157.83, 12,238.27 and 2,609.68 is: 3,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.83 : 12,238.27 = 2,609.68 : x
  2. Step 2: Convert to fraction form
    8,157.83/12,238.27 = 2,609.68/x
  3. Step 3: Cross multiply
    8,157.83x = 12,238.27 × 2,609.68
  4. Step 4: Simplify right side
    8,157.83x = 31,937,973.09
  5. Step 5: Solve for x
    x = 31,937,973.09/8,157.83
  6. Step 6: Final answer
    x = 3,915.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.