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Finding the Fourth Proportional to 7,610.96, 10,462.84 and 6,544.80

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Solution

The fourth proportional to 7,610.96, 10,462.84 and 6,544.80 is: 8,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.96 : 10,462.84 = 6,544.80 : x
  2. Step 2: Convert to fraction form
    7,610.96/10,462.84 = 6,544.80/x
  3. Step 3: Cross multiply
    7,610.96x = 10,462.84 × 6,544.80
  4. Step 4: Simplify right side
    7,610.96x = 68,477,195.23
  5. Step 5: Solve for x
    x = 68,477,195.23/7,610.96
  6. Step 6: Final answer
    x = 8,997.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.