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Finding the Fourth Proportional to 8,431.29, 11,635.17 and 4,705.29

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Solution

The fourth proportional to 8,431.29, 11,635.17 and 4,705.29 is: 6,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.29 : 11,635.17 = 4,705.29 : x
  2. Step 2: Convert to fraction form
    8,431.29/11,635.17 = 4,705.29/x
  3. Step 3: Cross multiply
    8,431.29x = 11,635.17 × 4,705.29
  4. Step 4: Simplify right side
    8,431.29x = 54,746,849.05
  5. Step 5: Solve for x
    x = 54,746,849.05/8,431.29
  6. Step 6: Final answer
    x = 6,493.29

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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.