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Finding the Fourth Proportional to 11,519.10, 15,896.38 and 6,483.39

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Solution

The fourth proportional to 11,519.10, 15,896.38 and 6,483.39 is: 8,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.10 : 15,896.38 = 6,483.39 : x
  2. Step 2: Convert to fraction form
    11,519.10/15,896.38 = 6,483.39/x
  3. Step 3: Cross multiply
    11,519.10x = 15,896.38 × 6,483.39
  4. Step 4: Simplify right side
    11,519.10x = 103,062,431.13
  5. Step 5: Solve for x
    x = 103,062,431.13/11,519.10
  6. Step 6: Final answer
    x = 8,947.09

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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.