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Finding the Fourth Proportional to 7,712.82, 10,638.54 and 5,353.29

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Solution

The fourth proportional to 7,712.82, 10,638.54 and 5,353.29 is: 7,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.82 : 10,638.54 = 5,353.29 : x
  2. Step 2: Convert to fraction form
    7,712.82/10,638.54 = 5,353.29/x
  3. Step 3: Cross multiply
    7,712.82x = 10,638.54 × 5,353.29
  4. Step 4: Simplify right side
    7,712.82x = 56,951,189.80
  5. Step 5: Solve for x
    x = 56,951,189.80/7,712.82
  6. Step 6: Final answer
    x = 7,383.96

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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.