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Finding the Fourth Proportional to 8,117.76, 12,179.60 and 3,438.96

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Solution

The fourth proportional to 8,117.76, 12,179.60 and 3,438.96 is: 5,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.76 : 12,179.60 = 3,438.96 : x
  2. Step 2: Convert to fraction form
    8,117.76/12,179.60 = 3,438.96/x
  3. Step 3: Cross multiply
    8,117.76x = 12,179.60 × 3,438.96
  4. Step 4: Simplify right side
    8,117.76x = 41,885,157.22
  5. Step 5: Solve for x
    x = 41,885,157.22/8,117.76
  6. Step 6: Final answer
    x = 5,159.69

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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.