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Finding the Fourth Proportional to 7,682.96, 10,593.60 and 6,560.48

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Solution

The fourth proportional to 7,682.96, 10,593.60 and 6,560.48 is: 9,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.96 : 10,593.60 = 6,560.48 : x
  2. Step 2: Convert to fraction form
    7,682.96/10,593.60 = 6,560.48/x
  3. Step 3: Cross multiply
    7,682.96x = 10,593.60 × 6,560.48
  4. Step 4: Simplify right side
    7,682.96x = 69,499,100.93
  5. Step 5: Solve for x
    x = 69,499,100.93/7,682.96
  6. Step 6: Final answer
    x = 9,045.88

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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.