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Finding the Fourth Proportional to 8,431.24, 11,635.12 and 4,705.24

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Solution

The fourth proportional to 8,431.24, 11,635.12 and 4,705.24 is: 6,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.24 : 11,635.12 = 4,705.24 : x
  2. Step 2: Convert to fraction form
    8,431.24/11,635.12 = 4,705.24/x
  3. Step 3: Cross multiply
    8,431.24x = 11,635.12 × 4,705.24
  4. Step 4: Simplify right side
    8,431.24x = 54,746,032.03
  5. Step 5: Solve for x
    x = 54,746,032.03/8,431.24
  6. Step 6: Final answer
    x = 6,493.24

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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.