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Finding the Fourth Proportional to 10,679.33, 16,019.44 and 3,664.17

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Solution

The fourth proportional to 10,679.33, 16,019.44 and 3,664.17 is: 5,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.33 : 16,019.44 = 3,664.17 : x
  2. Step 2: Convert to fraction form
    10,679.33/16,019.44 = 3,664.17/x
  3. Step 3: Cross multiply
    10,679.33x = 16,019.44 × 3,664.17
  4. Step 4: Simplify right side
    10,679.33x = 58,697,916.24
  5. Step 5: Solve for x
    x = 58,697,916.24/10,679.33
  6. Step 6: Final answer
    x = 5,496.40

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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.