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Finding the Fourth Proportional to 7,682.03, 11,527.51 and 3,239.41

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Solution

The fourth proportional to 7,682.03, 11,527.51 and 3,239.41 is: 4,861.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.03 : 11,527.51 = 3,239.41 : x
  2. Step 2: Convert to fraction form
    7,682.03/11,527.51 = 3,239.41/x
  3. Step 3: Cross multiply
    7,682.03x = 11,527.51 × 3,239.41
  4. Step 4: Simplify right side
    7,682.03x = 37,342,331.17
  5. Step 5: Solve for x
    x = 37,342,331.17/7,682.03
  6. Step 6: Final answer
    x = 4,861.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.