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Finding the Fourth Proportional to 8,431.05, 11,639.22 and 6,159.84

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Solution

The fourth proportional to 8,431.05, 11,639.22 and 6,159.84 is: 8,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.05 : 11,639.22 = 6,159.84 : x
  2. Step 2: Convert to fraction form
    8,431.05/11,639.22 = 6,159.84/x
  3. Step 3: Cross multiply
    8,431.05x = 11,639.22 × 6,159.84
  4. Step 4: Simplify right side
    8,431.05x = 71,695,732.92
  5. Step 5: Solve for x
    x = 71,695,732.92/8,431.05
  6. Step 6: Final answer
    x = 8,503.77

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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.