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Finding the Fourth Proportional to 7,720.34, 10,654.11 and 4,183.56

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Solution

The fourth proportional to 7,720.34, 10,654.11 and 4,183.56 is: 5,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.34 : 10,654.11 = 4,183.56 : x
  2. Step 2: Convert to fraction form
    7,720.34/10,654.11 = 4,183.56/x
  3. Step 3: Cross multiply
    7,720.34x = 10,654.11 × 4,183.56
  4. Step 4: Simplify right side
    7,720.34x = 44,572,071.34
  5. Step 5: Solve for x
    x = 44,572,071.34/7,720.34
  6. Step 6: Final answer
    x = 5,773.33

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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.