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Finding the Fourth Proportional to 7,665.34, 10,581.41 and 4,682.25

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Solution

The fourth proportional to 7,665.34, 10,581.41 and 4,682.25 is: 6,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.34 : 10,581.41 = 4,682.25 : x
  2. Step 2: Convert to fraction form
    7,665.34/10,581.41 = 4,682.25/x
  3. Step 3: Cross multiply
    7,665.34x = 10,581.41 × 4,682.25
  4. Step 4: Simplify right side
    7,665.34x = 49,544,806.97
  5. Step 5: Solve for x
    x = 49,544,806.97/7,665.34
  6. Step 6: Final answer
    x = 6,463.48

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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.