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Finding the Fourth Proportional to 10,410.52, 14,369.52 and 5,936.72

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Solution

The fourth proportional to 10,410.52, 14,369.52 and 5,936.72 is: 8,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.52 : 14,369.52 = 5,936.72 : x
  2. Step 2: Convert to fraction form
    10,410.52/14,369.52 = 5,936.72/x
  3. Step 3: Cross multiply
    10,410.52x = 14,369.52 × 5,936.72
  4. Step 4: Simplify right side
    10,410.52x = 85,307,816.77
  5. Step 5: Solve for x
    x = 85,307,816.77/10,410.52
  6. Step 6: Final answer
    x = 8,194.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.