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Finding the Fourth Proportional to 7,682.04, 11,523.01 and 3,002.51

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Solution

The fourth proportional to 7,682.04, 11,523.01 and 3,002.51 is: 4,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.04 : 11,523.01 = 3,002.51 : x
  2. Step 2: Convert to fraction form
    7,682.04/11,523.01 = 3,002.51/x
  3. Step 3: Cross multiply
    7,682.04x = 11,523.01 × 3,002.51
  4. Step 4: Simplify right side
    7,682.04x = 34,597,974.06
  5. Step 5: Solve for x
    x = 34,597,974.06/7,682.04
  6. Step 6: Final answer
    x = 4,503.75

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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.