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Finding the Fourth Proportional to 8,156.22, 12,235.71 and 2,609.58

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Solution

The fourth proportional to 8,156.22, 12,235.71 and 2,609.58 is: 3,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.22 : 12,235.71 = 2,609.58 : x
  2. Step 2: Convert to fraction form
    8,156.22/12,235.71 = 2,609.58/x
  3. Step 3: Cross multiply
    8,156.22x = 12,235.71 × 2,609.58
  4. Step 4: Simplify right side
    8,156.22x = 31,930,064.10
  5. Step 5: Solve for x
    x = 31,930,064.10/8,156.22
  6. Step 6: Final answer
    x = 3,914.81

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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.