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Finding the Fourth Proportional to 10,864.84, 16,297.89 and 3,073

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Solution

The fourth proportional to 10,864.84, 16,297.89 and 3,073 is: 4,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.84 : 16,297.89 = 3,073 : x
  2. Step 2: Convert to fraction form
    10,864.84/16,297.89 = 3,073/x
  3. Step 3: Cross multiply
    10,864.84x = 16,297.89 × 3,073
  4. Step 4: Simplify right side
    10,864.84x = 50,083,415.97
  5. Step 5: Solve for x
    x = 50,083,415.97/10,864.84
  6. Step 6: Final answer
    x = 4,609.68

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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.