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Finding the Fourth Proportional to 8,159.19, 12,232.80 and 2,609.34

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Solution

The fourth proportional to 8,159.19, 12,232.80 and 2,609.34 is: 3,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.19 : 12,232.80 = 2,609.34 : x
  2. Step 2: Convert to fraction form
    8,159.19/12,232.80 = 2,609.34/x
  3. Step 3: Cross multiply
    8,159.19x = 12,232.80 × 2,609.34
  4. Step 4: Simplify right side
    8,159.19x = 31,919,534.35
  5. Step 5: Solve for x
    x = 31,919,534.35/8,159.19
  6. Step 6: Final answer
    x = 3,912.10

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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.