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Finding the Fourth Proportional to 7,682.91, 10,605.40 and 6,004.87

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Solution

The fourth proportional to 7,682.91, 10,605.40 and 6,004.87 is: 8,289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.91 : 10,605.40 = 6,004.87 : x
  2. Step 2: Convert to fraction form
    7,682.91/10,605.40 = 6,004.87/x
  3. Step 3: Cross multiply
    7,682.91x = 10,605.40 × 6,004.87
  4. Step 4: Simplify right side
    7,682.91x = 63,683,997.07
  5. Step 5: Solve for x
    x = 63,683,997.07/7,682.91
  6. Step 6: Final answer
    x = 8,289.04

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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.