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Finding the Fourth Proportional to 7,682.59, 11,527.83 and 6,649.23

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Solution

The fourth proportional to 7,682.59, 11,527.83 and 6,649.23 is: 9,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.59 : 11,527.83 = 6,649.23 : x
  2. Step 2: Convert to fraction form
    7,682.59/11,527.83 = 6,649.23/x
  3. Step 3: Cross multiply
    7,682.59x = 11,527.83 × 6,649.23
  4. Step 4: Simplify right side
    7,682.59x = 76,651,193.07
  5. Step 5: Solve for x
    x = 76,651,193.07/7,682.59
  6. Step 6: Final answer
    x = 9,977.26

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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.