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Finding the Fourth Proportional to 10,447.98, 15,654.32 and 5,175.96

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Solution

The fourth proportional to 10,447.98, 15,654.32 and 5,175.96 is: 7,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.98 : 15,654.32 = 5,175.96 : x
  2. Step 2: Convert to fraction form
    10,447.98/15,654.32 = 5,175.96/x
  3. Step 3: Cross multiply
    10,447.98x = 15,654.32 × 5,175.96
  4. Step 4: Simplify right side
    10,447.98x = 81,026,108.27
  5. Step 5: Solve for x
    x = 81,026,108.27/10,447.98
  6. Step 6: Final answer
    x = 7,755.19

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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.