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Finding the Fourth Proportional to 11,916.29, 17,871 and 4,800.50

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Solution

The fourth proportional to 11,916.29, 17,871 and 4,800.50 is: 7,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.29 : 17,871 = 4,800.50 : x
  2. Step 2: Convert to fraction form
    11,916.29/17,871 = 4,800.50/x
  3. Step 3: Cross multiply
    11,916.29x = 17,871 × 4,800.50
  4. Step 4: Simplify right side
    11,916.29x = 85,789,735.50
  5. Step 5: Solve for x
    x = 85,789,735.50/11,916.29
  6. Step 6: Final answer
    x = 7,199.37

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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.