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Finding the Fourth Proportional to 8,356.36, 12,532.38 and 3,965.08

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Solution

The fourth proportional to 8,356.36, 12,532.38 and 3,965.08 is: 5,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.36 : 12,532.38 = 3,965.08 : x
  2. Step 2: Convert to fraction form
    8,356.36/12,532.38 = 3,965.08/x
  3. Step 3: Cross multiply
    8,356.36x = 12,532.38 × 3,965.08
  4. Step 4: Simplify right side
    8,356.36x = 49,691,889.29
  5. Step 5: Solve for x
    x = 49,691,889.29/8,356.36
  6. Step 6: Final answer
    x = 5,946.60

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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.