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Finding the Fourth Proportional to 8,431.26, 11,635.14 and 4,705.26

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Solution

The fourth proportional to 8,431.26, 11,635.14 and 4,705.26 is: 6,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.26 : 11,635.14 = 4,705.26 : x
  2. Step 2: Convert to fraction form
    8,431.26/11,635.14 = 4,705.26/x
  3. Step 3: Cross multiply
    8,431.26x = 11,635.14 × 4,705.26
  4. Step 4: Simplify right side
    8,431.26x = 54,746,358.84
  5. Step 5: Solve for x
    x = 54,746,358.84/8,431.26
  6. Step 6: Final answer
    x = 6,493.26

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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.